diff --git a/.agents/skills/flotilla-views/SKILL.md b/.agents/skills/flotilla-views/SKILL.md
index 2bf737d7..c195824a 100644
--- a/.agents/skills/flotilla-views/SKILL.md
+++ b/.agents/skills/flotilla-views/SKILL.md
@@ -187,15 +187,22 @@ behind its own loading state. Reusable confirmations get a `*Confirm` wrapper
 ### Popover menus
 
 `MenuButton` renders a `Tippy` popover around the component you pass, adding an `onClick` prop
-that hides it:
+that hides it. It shows the menu-dots icon unless given children, opens `bottom-end` unless given a
+`placement`, and takes `strayMargin` to hide once the pointer strays that many pixels from the
+popover, as the hover actions on a chat row do:
 
 ```svelte
 <MenuButton component={ChatMenu} aria-label="Chat options" />
 ```
 
-`EventMenu` attaches `onClick` to its `<ul>`, so any item closes the popover, and each item
-usually pushes a modal. On mobile, rows push a `*MenuMobile` modal instead: `RoomItem` pushes
-`RoomItemMenuMobile` on tap.
+`EventMenu` puts `onClick` on its `<ul>` as `onclickcapture`, so any item closes the popover, and
+each item usually pushes a modal. It has to be the capture phase: `Button` stops propagation, and
+Svelte's delegated `onclick` on the `<ul>` would never see the click. On mobile, rows push a
+`*MenuMobile` modal instead: `RoomItem` pushes `RoomItemMenuMobile` on tap.
+
+`Tooltip` is `Tippy` with a string `content` and the `tooltip` theme, whose CSS lives in
+`tooltip.css`. `Tippy` appends popovers to the page's `.tippy-target`, or to the open dialog's
+`.dialog-tippy-target` so they stack above it.
 
 ### Toasts
 
@@ -222,8 +229,8 @@ lives there:
   `ModalSubtitle`, `ModalFooter`, `Confirm`
 - controls: `Button`, `Link`, `Field`, `FieldInline`, `Input`, `InputList`, `ToggleInput`,
   `DateTimeInput`, `ImagesInput`, `IconInput`, `EmojiPicker`, `MenuButton`, `SegmentedButtons`
-- display and lists: `Icon`, `Badge`, `Card`, `Divider`, `Spinner`, `Tooltip`, `Tippy`,
-  `Popover`, `Cv`, `VirtualList`, `Masonry`, `DragList`, `ScrollToTop`
+- display and lists: `Icon`, `Badge`, `Card`, `Divider`, `Spinner`, `Tooltip`, `Tippy`, `Cv`,
+  `VirtualList`, `Masonry`, `DragList`, `ScrollToTop`
 - the CSS component families (`button.css`, `card.css`, …) and the theme tokens
 
 Anything that takes an identifier and reads a store, publishes, or knows a kind is an app
diff --git a/src/app/components/BoardMenu.svelte b/src/app/components/BoardMenu.svelte
index 74784289..dfecc855 100644
--- a/src/app/components/BoardMenu.svelte
+++ b/src/app/components/BoardMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import type {PinboardReader} from "@welshman/domain"
   import AddCircle from "@assets/icons/add-circle.svg?dataurl"
   import Pen from "@assets/icons/pen.svg?dataurl"
@@ -59,15 +58,9 @@
       message: `Delete "${board.title() || "this shelf"}"?`,
       confirm: deleteBoard,
     })
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button onclick={showInfo}>
       <Icon icon={Code2} />
diff --git a/src/app/components/ChatMenu.svelte b/src/app/components/ChatMenu.svelte
index 49db5445..5881cf72 100644
--- a/src/app/components/ChatMenu.svelte
+++ b/src/app/components/ChatMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import {assoc} from "@welshman/lib"
   import {publish} from "@welshman/app"
   import Check from "@assets/icons/check.svg?dataurl"
@@ -34,15 +33,9 @@
       addRelay: (url: string) => $messagingRelayLists.addUrl(url).then(publish),
       removeRelay: (url: string) => $messagingRelayLists.removeUrl(url).then(publish),
     })
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button onclick={markAsRead}>
       <Icon size={4} icon={Check} />
diff --git a/src/app/components/Compose.svelte b/src/app/components/Compose.svelte
index cdd855ba..e74f2c91 100644
--- a/src/app/components/Compose.svelte
+++ b/src/app/components/Compose.svelte
@@ -2,7 +2,7 @@
   import {onDestroy, onMount} from "svelte"
   import {writable} from "svelte/store"
   import cx from "classnames"
-  import type {Maybe, MaybeAsync} from "@welshman/lib"
+  import type {MaybeAsync} from "@welshman/lib"
   import {MESSAGE} from "@welshman/util"
   import type {EventContent} from "@welshman/util"
   import {escapeHtml, isMobile, preventDefault} from "@lib/html"
@@ -11,8 +11,7 @@
   import Plane from "@assets/icons/plane-2.svg?dataurl"
   import Icon from "@lib/components/Icon.svelte"
   import Button from "@lib/components/Button.svelte"
-  import Tippy from "@lib/components/Tippy.svelte"
-  import type {TippyController} from "@lib/components/Tippy.svelte"
+  import MenuButton from "@lib/components/MenuButton.svelte"
   import Spinner from "@lib/components/Spinner.svelte"
   import ComposeMenu from "@app/components/ComposeMenu.svelte"
   import EditorEmojiButton from "@app/components/EditorEmojiButton.svelte"
@@ -115,10 +114,6 @@
       .run()
   }
 
-  const showMenu = () => tippy?.show()
-
-  const hideMenu = () => tippy?.hide()
-
   const submit = async () => {
     if ($uploading || disabled || sending) {
       return
@@ -145,7 +140,6 @@
   }
 
   let sending = false
-  let tippy: Maybe<TippyController> = $state()
   let content = $state(
     initialValues?.type === "text" ? initialValues.value : (draft?.get()?.content ?? ""),
   )
@@ -212,15 +206,14 @@
       {/if}
     </Button>
     {#if url}
-      <Button disabled={$uploading} onclick={showMenu} class={buttonClass}>
-        <Tippy
-          bind:controller={tippy}
-          component={ComposeMenu}
-          props={{url, h, onClick: hideMenu}}
-          params={{trigger: "manual", interactive: true}}>
-          <Icon icon={WidgetAdd} />
-        </Tippy>
-      </Button>
+      <MenuButton
+        component={ComposeMenu}
+        componentProps={{url, h}}
+        placement="top"
+        disabled={$uploading}
+        class={buttonClass}>
+        <Icon icon={WidgetAdd} />
+      </MenuButton>
     {/if}
     <EditorEmojiButton {editor} disabled={$uploading || disabled} class={buttonClass} />
   </div>
diff --git a/src/app/components/ComposeMenu.svelte b/src/app/components/ComposeMenu.svelte
index 3520330f..63d6b3d3 100644
--- a/src/app/components/ComposeMenu.svelte
+++ b/src/app/components/ComposeMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import CalendarMinimalistic from "@assets/icons/calendar-minimalistic.svg?dataurl"
   import StarFallMinimalistic from "@assets/icons/star-fall-minimalistic.svg?dataurl"
   import NotesMinimalistic from "@assets/icons/notes-minimalistic.svg?dataurl"
@@ -35,15 +34,9 @@
   const createPoll = () => pushModal(PollCreate, {url, h, shareToChat: true})
 
   const createArticle = () => navigate(makeArticleCreatePath(url, {h, shareToChat: true}))
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button onclick={createGoal}>
       <Icon size={4} icon={StarFallMinimalistic} />
diff --git a/src/app/components/EventActions.svelte b/src/app/components/EventActions.svelte
index 95bbe332..27cbf6c2 100644
--- a/src/app/components/EventActions.svelte
+++ b/src/app/components/EventActions.svelte
@@ -1,12 +1,7 @@
 <script lang="ts">
   import type {Snippet} from "svelte"
-  import type {Maybe} from "@welshman/lib"
   import type {TrustedEvent} from "@welshman/util"
-  import MenuDots from "@assets/icons/menu-dots.svg?dataurl"
-  import Icon from "@lib/components/Icon.svelte"
-  import Tippy from "@lib/components/Tippy.svelte"
-  import type {TippyController} from "@lib/components/Tippy.svelte"
-  import Button from "@lib/components/Button.svelte"
+  import MenuButton from "@lib/components/MenuButton.svelte"
   import EventMenu from "@app/components/EventMenu.svelte"
   import EventReactButtons from "@app/components/EventReactButtons.svelte"
 
@@ -19,25 +14,16 @@
   }
 
   const {url, noun, event, hideZap, customActions}: Props = $props()
-
-  const showPopover = () => tippy?.show()
-
-  const hidePopover = () => tippy?.hide()
-
-  let tippy: Maybe<TippyController> = $state()
 </script>
 
 <!-- The compact segmented control a card footer gets. EventActionBar is the full-width
      version a detail page gets. -->
 <div class="items-center join">
   <EventReactButtons {url} {event} {hideZap} class="button button-neutral button-xs join-item" />
-  <Button onclick={showPopover} class="flex join-item button button-neutral button-xs">
-    <Tippy
-      bind:controller={tippy}
-      component={EventMenu}
-      props={{url, noun, event, customActions, onClick: hidePopover}}
-      params={{trigger: "manual", interactive: true}}>
-      <Icon icon={MenuDots} size={4} />
-    </Tippy>
-  </Button>
+  <MenuButton
+    component={EventMenu}
+    componentProps={{url, noun, event, customActions}}
+    placement="top"
+    iconSize={4}
+    class="flex join-item button button-neutral button-xs" />
 </div>
diff --git a/src/app/components/EventMenu.svelte b/src/app/components/EventMenu.svelte
index b15f4e42..62d5e6e9 100644
--- a/src/app/components/EventMenu.svelte
+++ b/src/app/components/EventMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import type {Snippet} from "svelte"
   import type {TrustedEvent} from "@welshman/util"
   import {COMMENT} from "@welshman/util"
@@ -44,15 +43,9 @@
   const showDelete = () => pushModal(EventDeleteConfirm, {url, event})
 
   const showAdminDelete = () => pushModal(EventAdminDeleteConfirm, {url, noun, event})
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button onclick={showInfo}>
       <Icon size={4} icon={Code2} />
diff --git a/src/app/components/PinMenu.svelte b/src/app/components/PinMenu.svelte
index e504c68e..da480946 100644
--- a/src/app/components/PinMenu.svelte
+++ b/src/app/components/PinMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import type {PinReader} from "@welshman/domain"
   import Pen from "@assets/icons/pen.svg?dataurl"
   import TrashBin from "@assets/icons/trash-bin-2.svg?dataurl"
@@ -53,15 +52,9 @@
       message: "Delete this link?",
       confirm: deletePin,
     })
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button onclick={showInfo}>
       <Icon icon={Code2} />
diff --git a/src/app/components/PomadeSessionMenu.svelte b/src/app/components/PomadeSessionMenu.svelte
index 40d55f8d..a9624a66 100644
--- a/src/app/components/PomadeSessionMenu.svelte
+++ b/src/app/components/PomadeSessionMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import TrashBin2 from "@assets/icons/trash-bin-2.svg?dataurl"
   import Icon from "@lib/components/Icon.svelte"
   import Button from "@lib/components/Button.svelte"
@@ -10,15 +9,9 @@
   }
 
   const {onDelete, onClick}: Props = $props()
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button onclick={onDelete}>
       <Icon icon={TrashBin2} />
diff --git a/src/app/components/ProfileMenu.svelte b/src/app/components/ProfileMenu.svelte
index 7518bb59..46c198ea 100644
--- a/src/app/components/ProfileMenu.svelte
+++ b/src/app/components/ProfileMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import type {Snippet} from "svelte"
   import {removeUndefined} from "@welshman/lib"
   import Code2 from "@assets/icons/code-2.svg?dataurl"
@@ -25,15 +24,9 @@
   const showInfo = () => pushModal(ProfileInfo, {event: $profile!.event, url})
 
   const showShare = () => pushModal(ProfileQrCode, {pubkey})
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button onclick={showShare}>
       <Icon size={4} icon={ShareCircle} />
diff --git a/src/app/components/ReportMenu.svelte b/src/app/components/ReportMenu.svelte
index 487f7386..d5f43eaf 100644
--- a/src/app/components/ReportMenu.svelte
+++ b/src/app/components/ReportMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import type {TrustedEvent} from "@welshman/util"
   import {Report} from "@welshman/domain"
   import InboxOut from "@assets/icons/inbox-out.svg?dataurl"
@@ -87,15 +86,9 @@
       },
     })
   }
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   {#if event.pubkey === $user.pubkey}
     <li>
       <Button onclick={deleteReport}>
diff --git a/src/app/components/RoomDetailMenu.svelte b/src/app/components/RoomDetailMenu.svelte
index d1d346be..d01617b2 100644
--- a/src/app/components/RoomDetailMenu.svelte
+++ b/src/app/components/RoomDetailMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import type {Maybe} from "@welshman/lib"
   import {MembershipStatus, publish} from "@welshman/app"
   import Pen from "@assets/icons/pen.svg?dataurl"
@@ -70,14 +69,9 @@
     })
 
   let loading = $state(false)
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   {#if $userIsAdmin}
     <li>
       <Button onclick={startEdit}>
diff --git a/src/app/components/RoomItem.svelte b/src/app/components/RoomItem.svelte
index a0ed9558..a4a19bc4 100644
--- a/src/app/components/RoomItem.svelte
+++ b/src/app/components/RoomItem.svelte
@@ -14,6 +14,7 @@
   import Icon from "@lib/components/Icon.svelte"
   import Link from "@lib/components/Link.svelte"
   import Button from "@lib/components/Button.svelte"
+  import MenuButton from "@lib/components/MenuButton.svelte"
   import ThunkFailure from "@app/components/ThunkFailure.svelte"
   import {publishReaction, retractReaction} from "@app/reactions"
   import {deriveDisplaysByPubkey} from "@app/social"
@@ -22,7 +23,7 @@
   import ReactionSummary from "@app/components/ReactionSummary.svelte"
   import RoomItemZapButton from "@app/components/RoomItemZapButton.svelte"
   import RoomItemEmojiButton from "@app/components/RoomItemEmojiButton.svelte"
-  import RoomItemMenuButton from "@app/components/RoomItemMenuButton.svelte"
+  import RoomItemMenu from "@app/components/RoomItemMenu.svelte"
   import RoomItemMenuMobile from "@app/components/RoomItemMenuMobile.svelte"
   import RoomItemContent from "@app/components/RoomItemContent.svelte"
   import {events, profiles, reader, thunks, user} from "@app/core"
@@ -189,7 +190,14 @@
           <Icon icon={Pen} size={4} />
         </Button>
       {/if}
-      <RoomItemMenuButton {url} {event} />
+      <MenuButton
+        component={RoomItemMenu}
+        componentProps={{url, event}}
+        placement="top"
+        strayMargin={50}
+        iconSize={4}
+        aria-label="More options"
+        class="button button-xs button-neutral join-item" />
     </div>
   {/if}
 </TapTarget>
diff --git a/src/app/components/RoomItemMenuButton.svelte b/src/app/components/RoomItemMenuButton.svelte
deleted file mode 100644
index 824385b6..00000000
--- a/src/app/components/RoomItemMenuButton.svelte
+++ /dev/null
@@ -1,42 +0,0 @@
-<script lang="ts">
-  import {between} from "@welshman/lib"
-  import type {Maybe} from "@welshman/lib"
-  import MenuDots from "@assets/icons/menu-dots.svg?dataurl"
-  import Icon from "@lib/components/Icon.svelte"
-  import Button from "@lib/components/Button.svelte"
-  import Tippy from "@lib/components/Tippy.svelte"
-  import type {TippyController} from "@lib/components/Tippy.svelte"
-  import RoomItemMenu from "@app/components/RoomItemMenu.svelte"
-
-  const {url, event} = $props()
-
-  const open = () => tippy?.show()
-
-  const onClick = () => tippy?.hide()
-
-  const onMouseMove = ({clientX, clientY}: MouseEvent) => {
-    const rect = tippy?.rect()
-
-    if (rect) {
-      const {x, y, width, height} = rect
-
-      if (!between([x, x + width], clientX) || !between([y - 50, y + height + 50], clientY)) {
-        tippy!.hide()
-      }
-    }
-  }
-
-  let tippy: Maybe<TippyController> = $state()
-</script>
-
-<svelte:document onmousemove={tippy?.visible ? onMouseMove : undefined} />
-
-<Button aria-label="More options" onclick={open} class="button button-xs button-neutral join-item">
-  <Tippy
-    bind:controller={tippy}
-    component={RoomItemMenu}
-    props={{url, event, onClick}}
-    params={{trigger: "manual", interactive: true}}>
-    <Icon icon={MenuDots} size={4} />
-  </Tippy>
-</Button>
diff --git a/src/app/components/RoomMemberMenu.svelte b/src/app/components/RoomMemberMenu.svelte
index 6a80deca..c11e614c 100644
--- a/src/app/components/RoomMemberMenu.svelte
+++ b/src/app/components/RoomMemberMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import MinusCircle from "@assets/icons/minus-circle.svg?dataurl"
   import Icon from "@lib/components/Icon.svelte"
   import Button from "@lib/components/Button.svelte"
@@ -33,15 +32,9 @@
         }
       },
     })
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   <li>
     <Button class="text-error" onclick={removeMember}>
       <Icon icon={MinusCircle} />
diff --git a/src/app/components/SpaceDirectoryMenu.svelte b/src/app/components/SpaceDirectoryMenu.svelte
new file mode 100644
index 00000000..4379035e
--- /dev/null
+++ b/src/app/components/SpaceDirectoryMenu.svelte
@@ -0,0 +1,54 @@
+<script lang="ts">
+  import UsersGroup from "@assets/icons/users-group-rounded.svg?dataurl"
+  import MinusCircle from "@assets/icons/minus-circle.svg?dataurl"
+  import ShieldUser from "@assets/icons/shield-user.svg?dataurl"
+  import Icon from "@lib/components/Icon.svelte"
+  import Button from "@lib/components/Button.svelte"
+  import SpaceAdmins from "@app/components/SpaceAdmins.svelte"
+  import SpaceRoles from "@app/components/SpaceRoles.svelte"
+  import SpaceMembersBanned from "@app/components/SpaceMembersBanned.svelte"
+  import {deriveSpacePermissions} from "@app/management"
+  import {pushModal} from "@app/modal"
+
+  type Props = {
+    url: string
+    onClick: () => void
+  }
+
+  const {url, onClick}: Props = $props()
+
+  const permissions = deriveSpacePermissions(url)
+
+  const manageRoles = () => pushModal(SpaceRoles, {url})
+
+  const spaceAdmins = () => pushModal(SpaceAdmins, {url})
+
+  const bannedMembers = () => pushModal(SpaceMembersBanned, {url})
+</script>
+
+<ul class="menu w-48 gap-1 rounded-2xl bg-surface p-2" onclickcapture={onClick}>
+  {#if $permissions.manageRoles}
+    <li>
+      <Button onclick={manageRoles}>
+        <Icon icon={UsersGroup} />
+        Manage Roles
+      </Button>
+    </li>
+  {/if}
+  {#if $permissions.listAdmins}
+    <li>
+      <Button onclick={spaceAdmins}>
+        <Icon icon={ShieldUser} />
+        Admins
+      </Button>
+    </li>
+  {/if}
+  {#if $permissions.listBans}
+    <li>
+      <Button onclick={bannedMembers}>
+        <Icon icon={MinusCircle} />
+        Banned Members
+      </Button>
+    </li>
+  {/if}
+</ul>
diff --git a/src/app/components/SpaceMemberBannedMenu.svelte b/src/app/components/SpaceMemberBannedMenu.svelte
index 38f04536..7c36722b 100644
--- a/src/app/components/SpaceMemberBannedMenu.svelte
+++ b/src/app/components/SpaceMemberBannedMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import Restart from "@assets/icons/restart.svg?dataurl"
   import CloseCircle from "@assets/icons/close-circle.svg?dataurl"
   import Icon from "@lib/components/Icon.svelte"
@@ -39,15 +38,9 @@
       $spaceManagement.loadBannedPubkeys(url)
     }
   }
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   {#if $permissions.unban}
     <li>
       <Button onclick={unbanMember}>
diff --git a/src/app/components/SpaceMemberMenu.svelte b/src/app/components/SpaceMemberMenu.svelte
index b216676e..b104f8e2 100644
--- a/src/app/components/SpaceMemberMenu.svelte
+++ b/src/app/components/SpaceMemberMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import Pen from "@assets/icons/pen.svg?dataurl"
   import ShieldUser from "@assets/icons/shield-user.svg?dataurl"
   import UserMinus from "@assets/icons/user-minus.svg?dataurl"
@@ -61,15 +60,9 @@
         }
       },
     })
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   {#if $permissions.assignRoles || $permissions.unassignRoles}
     <li>
       <Button onclick={editRoles}>
diff --git a/src/app/components/SpaceMenuHeader.svelte b/src/app/components/SpaceMenuHeader.svelte
index 165b6e8e..233a09f3 100644
--- a/src/app/components/SpaceMenuHeader.svelte
+++ b/src/app/components/SpaceMenuHeader.svelte
@@ -6,7 +6,6 @@
   import BellOff from "@assets/icons/bell-off.svg?dataurl"
   import Icon from "@lib/components/Icon.svelte"
   import Button from "@lib/components/Button.svelte"
-  import Popover from "@lib/components/Popover.svelte"
   import SpaceMenuMobile from "@app/components/SpaceMenuMobile.svelte"
   import SpaceMenuActions from "@app/components/SpaceMenuActions.svelte"
   import RelayName from "@app/components/RelayName.svelte"
@@ -32,13 +31,26 @@
     }
   }
 
-  const toggleMenu = () => {
-    showMenu = !showMenu
+  const closeMenu = () => {
+    showMenu = false
+  }
+
+  // Deferred so the click that follows the mouseup still reaches the item before the menu goes.
+  const onMouseUp = () => setTimeout(closeMenu)
+
+  const onKeyDown = (event: KeyboardEvent) => {
+    if (event.key === "Escape") {
+      setTimeout(closeMenu)
+    }
   }
 
   let showMenu = $state(false)
 </script>
 
+<svelte:window
+  onmouseup={showMenu ? onMouseUp : undefined}
+  onkeydown={showMenu ? onKeyDown : undefined} />
+
 <Button
   class={cx(
     mobile
@@ -64,9 +76,9 @@
   <span class="text-xs text-primary">{displayRelayUrl(url)}</span>
 </Button>
 {#if showMenu && !mobile}
-  <Popover hideOnClick onClose={toggleMenu}>
+  <div class="relative w-full">
     <ul transition:fly class="menu absolute z-popover mt-2 w-full gap-1 rounded-2xl bg-surface p-2">
       <SpaceMenuActions {url} />
     </ul>
-  </Popover>
+  </div>
 {/if}
diff --git a/src/app/components/SpaceRoleMenu.svelte b/src/app/components/SpaceRoleMenu.svelte
index fd02e44d..f27604e2 100644
--- a/src/app/components/SpaceRoleMenu.svelte
+++ b/src/app/components/SpaceRoleMenu.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {onMount} from "svelte"
   import type {RelayRoleReader} from "@welshman/domain"
   import AddCircle from "@assets/icons/add-circle.svg?dataurl"
   import Pen from "@assets/icons/pen.svg?dataurl"
@@ -47,15 +46,9 @@
       message: `Delete the "${role.label()}" role? Members will keep their space membership.`,
       confirm: deleteRole,
     })
-
-  let ul: Element
-
-  onMount(() => {
-    ul.addEventListener("click", onClick)
-  })
 </script>
 
-<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" bind:this={ul}>
+<ul class="menu whitespace-nowrap rounded-2xl bg-surface p-2" onclickcapture={onClick}>
   {#if $permissions.assignRoles}
     <li>
       <Button onclick={addMembers}>
diff --git a/src/app/components/hosting/RelayDetailCard.svelte b/src/app/components/hosting/RelayDetailCard.svelte
index 2aa7641d..3c171fdd 100644
--- a/src/app/components/hosting/RelayDetailCard.svelte
+++ b/src/app/components/hosting/RelayDetailCard.svelte
@@ -1,36 +1,25 @@
 <script lang="ts">
   import cx from "classnames"
   import {spec} from "@welshman/lib"
-  import MenuDots from "@assets/icons/menu-dots.svg?dataurl"
-  import Pen from "@assets/icons/pen.svg?dataurl"
-  import Power from "@assets/icons/power.svg?dataurl"
-  import Play from "@assets/icons/play.svg?dataurl"
   import Danger from "@assets/icons/danger.svg?dataurl"
   import VerifiedCheck from "@assets/icons/verified-check.svg?dataurl"
   import ShieldWarning from "@assets/icons/shield-warning.svg?dataurl"
   import Copy from "@assets/icons/copy.svg?dataurl"
   import Refresh from "@assets/icons/refresh.svg?dataurl"
-  import BillList from "@assets/icons/bill-list.svg?dataurl"
-  import Database from "@assets/icons/database.svg?dataurl"
-  import {fly} from "@lib/transition"
   import {ucFirst} from "@lib/util"
   import Icon from "@lib/components/Icon.svelte"
   import Badge from "@lib/components/Badge.svelte"
   import Button from "@lib/components/Button.svelte"
   import Link from "@lib/components/Link.svelte"
-  import Popover from "@lib/components/Popover.svelte"
+  import MenuButton from "@lib/components/MenuButton.svelte"
   import Divider from "@lib/components/Divider.svelte"
   import Spinner from "@lib/components/Spinner.svelte"
   import FieldInline from "@lib/components/FieldInline.svelte"
   import ToggleInput from "@lib/components/ToggleInput.svelte"
-  import Confirm from "@lib/components/Confirm.svelte"
   import RelayIcon from "@app/components/RelayIcon.svelte"
+  import RelayDetailMenu from "@app/components/hosting/RelayDetailMenu.svelte"
   import CustomDomainModal from "@app/components/hosting/CustomDomainModal.svelte"
-  import DataTransferModal from "@app/components/hosting/DataTransferModal.svelte"
-  import PlanModal from "@app/components/hosting/PlanModal.svelte"
-  import RelayForm from "@app/components/hosting/RelayForm.svelte"
-  import type {RelayFormValues} from "@app/components/hosting/RelayForm.svelte"
-  import {pushModal, clearModals} from "@app/modal"
+  import {pushModal} from "@app/modal"
   import {clip, pushToast} from "@app/toast"
   import {
     RELAY_FLAG_DEFAULTS,
@@ -45,8 +34,6 @@
     isPaidPlan,
     updateRelay,
     getRelay,
-    deactivateRelay,
-    reactivateRelay,
     deriveRelayMembers,
     type HostedRelay,
     type RelayFlag,
@@ -63,7 +50,6 @@
   const members = deriveRelayMembers(relay.id)
 
   const host = $derived(relayHost(relay))
-  const relayLabel = $derived(relay.info_name || relay.subdomain)
   const domainVerified = $derived(flagToBool(relay.custom_domain_verified, false))
   const recordTarget = $derived(canonicalRelayHost(relay))
   // DNS forbids a CNAME at a zone apex, so those use the provider's ALIAS or ANAME record.
@@ -85,48 +71,10 @@
     }
   }
 
-  const openPlan = () => pushModal(PlanModal, {relay}, {size: "large"})
-
-  const openEdit = () => {
-    const previous = relay
-    const initialValues: RelayFormValues = {
-      info_name: relay.info_name,
-      subdomain: relay.subdomain,
-      info_icon: relay.info_icon,
-      info_description: relay.info_description,
-      plan_id: relay.plan_id,
-    }
-
-    pushModal(RelayForm, {
-      mode: "edit",
-      initialValues,
-      zooidDomain: relay.zooid_domain,
-      onSubmit: async (values: RelayFormValues) => {
-        const updated = await updateRelay(previous.id, values)
-
-        clearModals()
-
-        await followHostedRelay(previous, updated)
-      },
-    })
-  }
-
-  const openDataTransfer = () => {
-    pushModal(DataTransferModal, {relay})
-  }
-
   const openCustomDomain = () => {
     pushModal(CustomDomainModal, {relay})
   }
 
-  const openMenu = () => {
-    showMenu = true
-  }
-
-  const closeMenu = () => {
-    showMenu = false
-  }
-
   const copyTarget = () => clip(recordTarget)
 
   // Verification runs in a backend poller; reload to pick up the result.
@@ -150,48 +98,6 @@
     }
   }
 
-  const requestDeactivate = () => {
-    pushModal(Confirm, {
-      title: "Deactivate relay?",
-      subtitle: `${relayLabel} will be taken offline immediately.`,
-      message:
-        "All client connections are dropped and members can't read or write, but all data and settings are preserved. You can reactivate at any time.",
-      confirm: async () => {
-        try {
-          await deactivateRelay(relay.id)
-          $hosting.setRelay(await getRelay(relay.id))
-          clearModals()
-        } catch (e) {
-          pushToast({
-            theme: "error",
-            message: hostingErrorMessage(e, "Failed to deactivate relay."),
-          })
-        }
-      },
-    })
-  }
-
-  const requestReactivate = () => {
-    pushModal(Confirm, {
-      title: "Reactivate relay?",
-      subtitle: `${relayLabel} will come back online.`,
-      message: "The relay will start accepting connections again.",
-      confirm: async () => {
-        try {
-          await reactivateRelay(relay.id)
-          $hosting.setRelay(await getRelay(relay.id))
-          clearModals()
-        } catch (e) {
-          pushToast({
-            theme: "error",
-            message: hostingErrorMessage(e, "Failed to reactivate relay."),
-          })
-        }
-      },
-    })
-  }
-
-  let showMenu = $state(false)
   let loading = $state(false)
 </script>
 
@@ -216,7 +122,7 @@
       <RelayIcon url={getHostedRelayUrl(relay)} icon={relay.info_icon} size={12} />
       <div class="min-w-0">
         <div class="flex flex-wrap items-center gap-2">
-          <h2 class="text-xl font-bold">{relayLabel}</h2>
+          <h2 class="text-xl font-bold">{relay.info_name || relay.subdomain}</h2>
           <Badge variant={relay.status === "active" ? "primary" : "neutral"}>
             {ucFirst(relay.status.replace(/_/g, " "))}
           </Badge>
@@ -233,53 +139,11 @@
       </div>
     </div>
 
-    <div class="relative shrink-0">
-      <Button
-        class="button button-neutral button-circle"
-        aria-label="Relay actions"
-        onclick={openMenu}>
-        <Icon icon={MenuDots} />
-      </Button>
-      {#if showMenu}
-        <Popover hideOnClick onClose={closeMenu}>
-          <ul
-            transition:fly
-            class="menu absolute right-0 z-popover mt-2 w-52 gap-1 rounded-2xl border border-line bg-surface p-2 shadow-xl">
-            <li>
-              <Button onclick={openEdit}>
-                <Icon icon={Pen} />
-                Edit details
-              </Button>
-            </li>
-            <li>
-              <Button onclick={openPlan}>
-                <Icon icon={BillList} />
-                Change plan
-              </Button>
-            </li>
-            <li>
-              <Button onclick={openDataTransfer}>
-                <Icon icon={Database} />
-                Import / export data
-              </Button>
-            </li>
-            <li>
-              {#if relay.status === "active"}
-                <Button class="text-error" onclick={requestDeactivate}>
-                  <Icon icon={Power} />
-                  Deactivate
-                </Button>
-              {:else}
-                <Button class="text-primary" onclick={requestReactivate}>
-                  <Icon icon={Play} />
-                  Reactivate
-                </Button>
-              {/if}
-            </li>
-          </ul>
-        </Popover>
-      {/if}
-    </div>
+    <MenuButton
+      class="button button-neutral button-circle"
+      aria-label="Relay actions"
+      component={RelayDetailMenu}
+      componentProps={{relay}} />
   </div>
 
   {#if relay.sync_error}
diff --git a/src/app/components/hosting/RelayDetailMenu.svelte b/src/app/components/hosting/RelayDetailMenu.svelte
new file mode 100644
index 00000000..9f626e9d
--- /dev/null
+++ b/src/app/components/hosting/RelayDetailMenu.svelte
@@ -0,0 +1,142 @@
+<script lang="ts">
+  import Pen from "@assets/icons/pen.svg?dataurl"
+  import Power from "@assets/icons/power.svg?dataurl"
+  import Play from "@assets/icons/play.svg?dataurl"
+  import BillList from "@assets/icons/bill-list.svg?dataurl"
+  import Database from "@assets/icons/database.svg?dataurl"
+  import Icon from "@lib/components/Icon.svelte"
+  import Button from "@lib/components/Button.svelte"
+  import Confirm from "@lib/components/Confirm.svelte"
+  import DataTransferModal from "@app/components/hosting/DataTransferModal.svelte"
+  import PlanModal from "@app/components/hosting/PlanModal.svelte"
+  import RelayForm from "@app/components/hosting/RelayForm.svelte"
+  import type {RelayFormValues} from "@app/components/hosting/RelayForm.svelte"
+  import {pushModal, clearModals} from "@app/modal"
+  import {pushToast} from "@app/toast"
+  import {
+    followHostedRelay,
+    hosting,
+    hostingErrorMessage,
+    updateRelay,
+    getRelay,
+    deactivateRelay,
+    reactivateRelay,
+    type HostedRelay,
+  } from "@app/hosting"
+
+  type Props = {
+    relay: HostedRelay
+    onClick: () => void
+  }
+
+  const {relay, onClick}: Props = $props()
+
+  const relayLabel = $derived(relay.info_name || relay.subdomain)
+
+  const openPlan = () => pushModal(PlanModal, {relay}, {size: "large"})
+
+  const openEdit = () => {
+    const previous = relay
+    const initialValues: RelayFormValues = {
+      info_name: relay.info_name,
+      subdomain: relay.subdomain,
+      info_icon: relay.info_icon,
+      info_description: relay.info_description,
+      plan_id: relay.plan_id,
+    }
+
+    pushModal(RelayForm, {
+      mode: "edit",
+      initialValues,
+      zooidDomain: relay.zooid_domain,
+      onSubmit: async (values: RelayFormValues) => {
+        const updated = await updateRelay(previous.id, values)
+
+        clearModals()
+
+        await followHostedRelay(previous, updated)
+      },
+    })
+  }
+
+  const openDataTransfer = () => {
+    pushModal(DataTransferModal, {relay})
+  }
+
+  const requestDeactivate = () => {
+    pushModal(Confirm, {
+      title: "Deactivate relay?",
+      subtitle: `${relayLabel} will be taken offline immediately.`,
+      message:
+        "All client connections are dropped and members can't read or write, but all data and settings are preserved. You can reactivate at any time.",
+      confirm: async () => {
+        try {
+          await deactivateRelay(relay.id)
+          $hosting.setRelay(await getRelay(relay.id))
+          clearModals()
+        } catch (e) {
+          pushToast({
+            theme: "error",
+            message: hostingErrorMessage(e, "Failed to deactivate relay."),
+          })
+        }
+      },
+    })
+  }
+
+  const requestReactivate = () => {
+    pushModal(Confirm, {
+      title: "Reactivate relay?",
+      subtitle: `${relayLabel} will come back online.`,
+      message: "The relay will start accepting connections again.",
+      confirm: async () => {
+        try {
+          await reactivateRelay(relay.id)
+          $hosting.setRelay(await getRelay(relay.id))
+          clearModals()
+        } catch (e) {
+          pushToast({
+            theme: "error",
+            message: hostingErrorMessage(e, "Failed to reactivate relay."),
+          })
+        }
+      },
+    })
+  }
+</script>
+
+<ul
+  class="menu w-52 gap-1 rounded-2xl border border-line bg-surface p-2 shadow-xl"
+  onclickcapture={onClick}>
+  <li>
+    <Button onclick={openEdit}>
+      <Icon icon={Pen} />
+      Edit details
+    </Button>
+  </li>
+  <li>
+    <Button onclick={openPlan}>
+      <Icon icon={BillList} />
+      Change plan
+    </Button>
+  </li>
+  <li>
+    <Button onclick={openDataTransfer}>
+      <Icon icon={Database} />
+      Import / export data
+    </Button>
+  </li>
+  <li>
+    {#if relay.status === "active"}
+      <Button class="text-error" onclick={requestDeactivate}>
+        <Icon icon={Power} />
+        Deactivate
+      </Button>
+    {:else}
+      <Button class="text-primary" onclick={requestReactivate}>
+        <Icon icon={Play} />
+        Reactivate
+      </Button>
+    {/if}
+  </li>
+</ul>
diff --git a/src/lib/components/EmojiButton.svelte b/src/lib/components/EmojiButton.svelte
index 9d091947..752c3e3c 100644
--- a/src/lib/components/EmojiButton.svelte
+++ b/src/lib/components/EmojiButton.svelte
@@ -1,6 +1,6 @@
 <script lang="ts">
   import type {Snippet} from "svelte"
-  import {between, throttle} from "@welshman/lib"
+  import type {Props as TippyProps} from "tippy.js"
   import type {Maybe} from "@welshman/lib"
   import Button from "@lib/components/Button.svelte"
   import Tippy from "@lib/components/Tippy.svelte"
@@ -8,7 +8,7 @@
   import EmojiPicker from "@lib/components/EmojiPicker.svelte"
 
   type Props = {
-    tippyParams?: Record<string, unknown>
+    tippyParams?: Partial<TippyProps>
     onEmoji: (emoji: string) => void
     allowKaomoji?: boolean
     class?: string
@@ -32,28 +32,15 @@
     tippy?.hide()
   }
 
-  const onMouseMove = throttle(300, ({clientX, clientY}: MouseEvent) => {
-    const rect = tippy?.rect()
-
-    if (rect) {
-      const {x, y, width, height} = rect
-
-      if (!between([x, x + width], clientX) || !between([y - 100, y + height + 100], clientY)) {
-        tippy!.hide()
-      }
-    }
-  })
-
   let tippy: Maybe<TippyController> = $state()
 </script>
 
-<svelte:document onmousemove={tippy?.visible && !allowKaomoji ? onMouseMove : undefined} />
-
 <Button onclick={open} class={className} {...restProps}>
   <Tippy
     bind:controller={tippy}
     class="flex"
     component={EmojiPicker}
+    strayMargin={allowKaomoji ? undefined : 100}
     props={{onClick, allowKaomoji}}
     params={{trigger: "manual", interactive: true, ...tippyParams}}>
     {@render children?.()}
diff --git a/src/lib/components/IconPickerButton.svelte b/src/lib/components/IconPickerButton.svelte
index 0764151c..3f279f21 100644
--- a/src/lib/components/IconPickerButton.svelte
+++ b/src/lib/components/IconPickerButton.svelte
@@ -1,5 +1,4 @@
 <script lang="ts">
-  import {between, throttle} from "@welshman/lib"
   import type {Maybe} from "@welshman/lib"
   import {isMobile} from "@lib/html"
   import Button from "@lib/components/Button.svelte"
@@ -32,22 +31,13 @@
     close()
   }
 
-  const onMouseMove = throttle(300, ({clientX}: MouseEvent) => {
-    const rect = tippy?.rect()
-
-    if (rect && !between([rect.x - 50, rect.x + rect.width + 50], clientX)) {
-      tippy!.hide()
-    }
-  })
-
   let tippy: Maybe<TippyController> = $state()
 </script>
 
-<svelte:document onmousemove={onMouseMove} />
-
 <Tippy
   bind:controller={tippy}
   component={IconPickerPopover}
+  strayMargin={50}
   props={{onSelect: onClick}}
   params={{trigger: "manual", interactive: true, placement: "top-end"}}>
   <Button onclick={open} class={props.class}>
diff --git a/src/lib/components/MenuButton.svelte b/src/lib/components/MenuButton.svelte
index 2832d71b..18d1c7f0 100644
--- a/src/lib/components/MenuButton.svelte
+++ b/src/lib/components/MenuButton.svelte
@@ -1,5 +1,6 @@
 <script lang="ts">
-  import type {Component} from "svelte"
+  import type {Component, Snippet} from "svelte"
+  import type {Placement} from "tippy.js"
   import type {Maybe} from "@welshman/lib"
   import MenuDots from "@assets/icons/menu-dots.svg?dataurl"
   import Icon from "@lib/components/Icon.svelte"
@@ -10,16 +11,24 @@
   type Props = {
     component: Component<any>
     componentProps?: Record<string, any>
+    placement?: Placement
+    strayMargin?: number
     class?: string
     iconSize?: number
+    disabled?: boolean
+    children?: Snippet
     "aria-label"?: string
   }
 
   const {
     component,
     componentProps = {},
+    placement = "bottom-end",
+    strayMargin,
     class: className = "button button-ghost button-sm button-circle",
     iconSize,
+    disabled,
+    children,
     "aria-label": ariaLabel,
   }: Props = $props()
 
@@ -30,12 +39,17 @@
   let tippy: Maybe<TippyController> = $state()
 </script>
 
-<Button class={className} aria-label={ariaLabel} onclick={showPopover}>
+<Button class={className} aria-label={ariaLabel} {disabled} onclick={showPopover}>
   <Tippy
     bind:controller={tippy}
     {component}
+    {strayMargin}
     props={{...componentProps, onClick: hidePopover}}
-    params={{trigger: "manual", interactive: true, placement: "bottom-end"}}>
-    <Icon icon={MenuDots} size={iconSize} />
+    params={{trigger: "manual", interactive: true, placement}}>
+    {#if children}
+      {@render children()}
+    {:else}
+      <Icon icon={MenuDots} size={iconSize} />
+    {/if}
   </Tippy>
 </Button>
diff --git a/src/lib/components/Popover.svelte b/src/lib/components/Popover.svelte
deleted file mode 100644
index bfed4528..00000000
--- a/src/lib/components/Popover.svelte
+++ /dev/null
@@ -1,34 +0,0 @@
-<script lang="ts">
-  import type {Snippet} from "svelte"
-  import {fly} from "@lib/transition"
-
-  interface Props {
-    onClose: any
-    hideOnClick?: boolean
-    children?: Snippet
-  }
-
-  const {onClose, hideOnClick = false, children}: Props = $props()
-
-  const onMouseUp = (e: any) => {
-    if (hideOnClick || !element?.contains(e.target)) {
-      setTimeout(onClose)
-    }
-  }
-
-  const onKeyDown = (e: any) => {
-    if (e.key === "Escape") {
-      setTimeout(onClose)
-    }
-  }
-
-  let element: HTMLElement | undefined = $state()
-</script>
-
-<svelte:window onmouseup={onMouseUp} onkeydown={onKeyDown} />
-
-<div class="relative w-full" bind:this={element}>
-  <div transition:fly|local class="absolute z-popover w-full">
-    {@render children?.()}
-  </div>
-</div>
diff --git a/src/lib/components/Tippy.svelte b/src/lib/components/Tippy.svelte
index 125ed4b7..7405562e 100644
--- a/src/lib/components/Tippy.svelte
+++ b/src/lib/components/Tippy.svelte
@@ -6,27 +6,56 @@
     hide: () => void
     toggle: () => void
     visible: boolean
-    rect: () => Maybe<DOMRect>
     content: Maybe<Content>
   }
+
+  // Cached because a couple of popovers per chat row runs this thousands of times.
+  let tippyTarget: Maybe<Element>
+
+  const getTippyTarget = (trigger: Element) => {
+    const dialogTarget = trigger.closest(".dialog-overlay")?.querySelector(".dialog-tippy-target")
+
+    if (dialogTarget) {
+      return dialogTarget
+    }
+
+    if (!tippyTarget?.isConnected) {
+      tippyTarget = document.querySelector(".tippy-target")!
+    }
+
+    return tippyTarget
+  }
 </script>
 
 <script lang="ts">
   import "tippy.js/animations/shift-away.css"
 
   import tippy from "tippy.js"
-  import type {Instance} from "tippy.js"
+  import type {Instance, Props as TippyProps} from "tippy.js"
   import {onMount, mount, unmount} from "svelte"
-  import {getTippyTarget, isMobile} from "@lib/html"
+  import type {Component, Snippet} from "svelte"
+  import {between, throttle} from "@welshman/lib"
+  import {isMobile} from "@lib/html"
+
+  type Props = {
+    component?: Component<any>
+    children?: Snippet
+    props?: Record<string, any>
+    params?: Partial<TippyProps>
+    strayMargin?: number
+    controller?: TippyController
+    class?: string
+  }
 
   let {
     component,
-    children = undefined,
+    children,
     props = {},
     params = {},
+    strayMargin,
     controller = $bindable(),
-    ...restProps
-  } = $props()
+    class: className,
+  }: Props = $props()
 
   const target = document.createElement("div")
 
@@ -56,15 +85,24 @@
             : element.closest<HTMLElement>("button, [href], input, [tabindex]") ||
               element.querySelector<HTMLElement>("button, [href], input, [tabindex]") ||
               undefined
-        content ??= mount(component, {target, props: mountedProps})
+
+        if (component) {
+          content ??= mount(component, {target, props: mountedProps})
+        }
+
         visible = true
         document.addEventListener("keydown", onKeyDown)
 
+        if (strayMargin) {
+          document.addEventListener("mousemove", onMouseMove)
+        }
+
         return params.onShow?.(instance)
       },
       onHidden: (instance: Instance) => {
         visible = false
         document.removeEventListener("keydown", onKeyDown)
+        document.removeEventListener("mousemove", onMouseMove)
 
         return params.onHidden?.(instance)
       },
@@ -85,6 +123,20 @@
     }
   }
 
+  const onMouseMove = throttle(300, ({clientX, clientY}: MouseEvent) => {
+    const rect = popover?.popper.getBoundingClientRect()
+
+    if (rect && strayMargin) {
+      const {x, y, width, height} = rect
+      const inX = between([x - strayMargin, x + width + strayMargin], clientX)
+      const inY = between([y - strayMargin, y + height + strayMargin], clientY)
+
+      if (!inX || !inY) {
+        popover?.hide()
+      }
+    }
+  })
+
   controller = {
     show: () => create().show(),
     hide: () => popover?.hide(),
@@ -95,7 +147,6 @@
         create().show()
       }
     },
-    rect: () => popover?.popper.getBoundingClientRect(),
     get visible() {
       return visible
     },
@@ -115,6 +166,7 @@
 
     return () => {
       document.removeEventListener("keydown", onKeyDown)
+      document.removeEventListener("mousemove", onMouseMove)
       popover?.destroy()
 
       if (content) {
@@ -124,6 +176,6 @@
   })
 </script>
 
-<div bind:this={element} class={restProps.class}>
+<div bind:this={element} class={className}>
   {@render children?.()}
 </div>
diff --git a/src/lib/components/Tooltip.svelte b/src/lib/components/Tooltip.svelte
index 7c86b5a2..994a2007 100644
--- a/src/lib/components/Tooltip.svelte
+++ b/src/lib/components/Tooltip.svelte
@@ -1,65 +1,16 @@
-<style>
-  :global(.tippy-box[data-theme~="tooltip"]) {
-    background-color: var(--content);
-    color: var(--surface);
-    border-radius: var(--radius-xl);
-    padding: 0.25rem 0.5rem;
-    font-size: 0.875rem;
-    box-shadow: var(--shadow);
-  }
-
-  :global(.tippy-box[data-theme~="tooltip"][data-placement^="top"] > .tippy-arrow::before) {
-    border-top-color: var(--content);
-  }
-
-  :global(.tippy-box[data-theme~="tooltip"][data-placement^="bottom"] > .tippy-arrow::before) {
-    border-bottom-color: var(--content);
-  }
-
-  :global(.tippy-box[data-theme~="tooltip"][data-placement^="left"] > .tippy-arrow::before) {
-    border-left-color: var(--content);
-  }
-
-  :global(.tippy-box[data-theme~="tooltip"][data-placement^="right"] > .tippy-arrow::before) {
-    border-right-color: var(--content);
-  }
-</style>
-
 <script lang="ts">
-  import "tippy.js/animations/shift-away.css"
+  import type {Snippet} from "svelte"
+  import Tippy from "@lib/components/Tippy.svelte"
 
-  import tippy from "tippy.js"
-  import {onMount} from "svelte"
-  import {getTippyTarget, isMobile} from "@lib/html"
+  type Props = {
+    content: string
+    children: Snippet
+    class?: string
+  }
 
-  let {
-    content,
-    arrow = true,
-    interactive = false,
-    children = undefined,
-    instance = $bindable(),
-    ...restProps
-  } = $props()
-
-  let element: Element
-
-  onMount(() => {
-    instance = tippy(element, {
-      content,
-      arrow,
-      interactive,
-      animation: "shift-away",
-      theme: "tooltip",
-      appendTo: getTippyTarget(element),
-      trigger: isMobile ? "click" : "mouseenter focus",
-    })
-
-    return () => {
-      instance?.destroy()
-    }
-  })
+  const {content, children, class: className}: Props = $props()
 </script>
 
-<div bind:this={element} class={restProps.class}>
-  {@render children?.()}
-</div>
+<Tippy class={className} params={{content, theme: "tooltip"}}>
+  {@render children()}
+</Tippy>
diff --git a/src/lib/components/base.css b/src/lib/components/base.css
index e40f0ff2..444e68c9 100644
--- a/src/lib/components/base.css
+++ b/src/lib/components/base.css
@@ -419,12 +419,6 @@ body.keyboard-open .room {
   padding: 0.7rem 1rem !important;
 }
 
-/* tippy popover */
-.tippy-box {
-  @apply rounded-3xl;
-  box-shadow: var(--shadow-lg);
-}
-
 /* emoji picker — the .emoji-picker frame around it supplies the border */
 emoji-picker {
   --background: var(--surface);
diff --git a/src/lib/components/tooltip.css b/src/lib/components/tooltip.css
index 15940f30..ad1c792e 100644
--- a/src/lib/components/tooltip.css
+++ b/src/lib/components/tooltip.css
@@ -42,7 +42,7 @@
     display: none !important;
   }
 
-  /* the host tippy renders its popovers into; see getTippyTarget in lib/html.ts */
+  /* the host tippy renders its popovers into; see getTippyTarget in Tippy.svelte */
   .tippy-target {
     @apply z-tooltip pointer-events-none fixed inset-0;
   }
@@ -50,4 +50,34 @@
   .tippy-target > * {
     @apply pointer-events-auto;
   }
+
+  .tippy-box {
+    @apply rounded-3xl;
+    box-shadow: var(--shadow-lg);
+  }
+
+  .tippy-box[data-theme~="tooltip"] {
+    background-color: var(--content);
+    color: var(--surface);
+    border-radius: var(--radius-xl);
+    padding: 0.25rem 0.5rem;
+    font-size: 0.875rem;
+    box-shadow: var(--shadow);
+  }
+
+  .tippy-box[data-theme~="tooltip"][data-placement^="top"] > .tippy-arrow::before {
+    border-top-color: var(--content);
+  }
+
+  .tippy-box[data-theme~="tooltip"][data-placement^="bottom"] > .tippy-arrow::before {
+    border-bottom-color: var(--content);
+  }
+
+  .tippy-box[data-theme~="tooltip"][data-placement^="left"] > .tippy-arrow::before {
+    border-left-color: var(--content);
+  }
+
+  .tippy-box[data-theme~="tooltip"][data-placement^="right"] > .tippy-arrow::before {
+    border-right-color: var(--content);
+  }
 }
diff --git a/src/lib/html.ts b/src/lib/html.ts
index 60b4739e..bf67c68d 100644
--- a/src/lib/html.ts
+++ b/src/lib/html.ts
@@ -1,6 +1,5 @@
 import {readable} from "svelte/store"
 import {sleep, randomId} from "@welshman/lib"
-import type {Maybe} from "@welshman/lib"
 import {Capacitor} from "@capacitor/core"
 export {preventDefault, stopPropagation} from "svelte/legacy"
 
@@ -121,23 +120,6 @@ export const createScroller = ({
 
 export const isMobile = "ontouchstart" in document.documentElement
 
-// Cached because a couple of popovers per chat row runs this thousands of times.
-let tippyTarget: Maybe<Element>
-
-export const getTippyTarget = (trigger?: Element) => {
-  const dialogTarget = trigger?.closest(".dialog-overlay")?.querySelector(".dialog-tippy-target")
-
-  if (dialogTarget) {
-    return dialogTarget
-  }
-
-  if (!tippyTarget?.isConnected) {
-    tippyTarget = document.querySelector(".tippy-target")!
-  }
-
-  return tippyTarget
-}
-
 export const downloadText = async (filename: string, text: string) => {
   // The <a download> blob trick is a no-op in native WebViews, so write the file and share it.
   if (["android", "ios"].includes(Capacitor.getPlatform())) {
diff --git a/src/routes/spaces/[relay]/directory/+page.svelte b/src/routes/spaces/[relay]/directory/+page.svelte
index cd1c54bc..832c5156 100644
--- a/src/routes/spaces/[relay]/directory/+page.svelte
+++ b/src/routes/spaces/[relay]/directory/+page.svelte
@@ -3,21 +3,15 @@
   import {removeUndefined, sortBy} from "@welshman/lib"
   import UsersGroup from "@assets/icons/users-group-rounded.svg?dataurl"
   import AddCircle from "@assets/icons/add-circle.svg?dataurl"
-  import MenuDots from "@assets/icons/menu-dots.svg?dataurl"
-  import MinusCircle from "@assets/icons/minus-circle.svg?dataurl"
   import Magnifier from "@assets/icons/magnifier.svg?dataurl"
-  import ShieldUser from "@assets/icons/shield-user.svg?dataurl"
-  import {fly} from "@lib/transition"
   import Icon from "@lib/components/Icon.svelte"
   import Button from "@lib/components/Button.svelte"
-  import Popover from "@lib/components/Popover.svelte"
+  import MenuButton from "@lib/components/MenuButton.svelte"
   import PageContent from "@lib/components/PageContent.svelte"
   import SpaceBar from "@app/components/SpaceBar.svelte"
   import SpaceMember from "@app/components/SpaceMember.svelte"
   import SpaceInvite from "@app/components/SpaceInvite.svelte"
-  import SpaceAdmins from "@app/components/SpaceAdmins.svelte"
-  import SpaceRoles from "@app/components/SpaceRoles.svelte"
-  import SpaceMembersBanned from "@app/components/SpaceMembersBanned.svelte"
+  import SpaceDirectoryMenu from "@app/components/SpaceDirectoryMenu.svelte"
   import {deriveSpacePermissions} from "@app/management"
   import {deriveSpaceMemberRoles} from "@app/roles"
   import {relayMemberLists, relayRoles} from "@app/core"
@@ -47,27 +41,7 @@
     }))
   })
 
-  let menuOpen = $state(false)
-
-  const inviteMembers = () => {
-    menuOpen = false
-    pushModal(SpaceInvite, {url})
-  }
-
-  const manageRoles = () => {
-    menuOpen = false
-    pushModal(SpaceRoles, {url})
-  }
-
-  const spaceAdmins = () => {
-    menuOpen = false
-    pushModal(SpaceAdmins, {url})
-  }
-
-  const bannedMembers = () => {
-    menuOpen = false
-    pushModal(SpaceMembersBanned, {url})
-  }
+  const inviteMembers = () => pushModal(SpaceInvite, {url})
 
   // A role section matches on its own name, so it survives a term its members don't match.
   let term = $state("")
@@ -112,46 +86,12 @@
       Invite people
     </Button>
     {#if $permissions.directoryMenu}
-      <div class="relative">
-        <Button
-          class="button button-neutral button-sm button-square"
-          aria-label="More options"
-          onclick={() => (menuOpen = !menuOpen)}>
-          <Icon size={4} icon={MenuDots} />
-        </Button>
-        {#if menuOpen}
-          <Popover hideOnClick onClose={() => (menuOpen = false)}>
-            <ul
-              transition:fly
-              class="menu bg-surface absolute right-0 z-popover mt-2 w-48 gap-1 rounded-2xl p-2">
-              {#if $permissions.manageRoles}
-                <li>
-                  <Button onclick={manageRoles}>
-                    <Icon icon={UsersGroup} />
-                    Manage Roles
-                  </Button>
-                </li>
-              {/if}
-              {#if $permissions.listAdmins}
-                <li>
-                  <Button onclick={spaceAdmins}>
-                    <Icon icon={ShieldUser} />
-                    Admins
-                  </Button>
-                </li>
-              {/if}
-              {#if $permissions.listBans}
-                <li>
-                  <Button onclick={bannedMembers}>
-                    <Icon icon={MinusCircle} />
-                    Banned Members
-                  </Button>
-                </li>
-              {/if}
-            </ul>
-          </Popover>
-        {/if}
-      </div>
+      <MenuButton
+        class="button button-neutral button-sm button-square"
+        aria-label="More options"
+        iconSize={4}
+        component={SpaceDirectoryMenu}
+        componentProps={{url}} />
     {/if}
   {/snippet}
 </SpaceBar>