test: expect the home main conversation's ask in another space's inbox

Every project now has a main conversation of its own, so an ask waiting in
the home main conversation is not visible from a project and its inbox
lists it, answered in the home space.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01MRtGG9ARfqqhma3t85Ro2u

packages/testkit/src/inbox.test.ts

@@ -207,14 +207,20 @@ describeInbox("inbox.list", () => {
     // Items of the current space carry no space.
     expect(items.filter((item) => item.space).map((item) => item.bot.id)).toEqual([remote.id]);
 
-    // From the other space, the same items with the sides swapped.
+    // From the other space, the same items with the sides swapped, plus the ask in the home
+    // main conversation: Remote's own main conversation does not show it.
     const fromRemote = await listInbox(app, cookie, remoteSpace.id);
     expect(fromRemote.map((item) => [item.kind, item.space?.id ?? null])).toEqual([
       ["approval", me.spaceId],
+      ["ask", me.spaceId],
       ["takeover", me.spaceId],
       ["ask", null],
       ["unread", me.spaceId],
     ]);
+    expect(fromRemote[1]).toMatchObject({
+      bot: expect.objectContaining({ id: scout.id }),
+      target: { groupId: main.groupId },
+    });
   });
 
   it("answers an item from another space only in that space and only for its owner", async () => {