* Show attention badges on recent chats in Cmd+J palette
Keep current tabs visible only when they have a scannable badge
(working, permission, unread, done). Snapshot unread maps alongside
status maps to freeze recent-section membership on open instead of
churning with live updates. Unify badge logic across tab strip and
palette, and extract test fixtures for reuse between suites.
* Exclude idle current tabs from Cmd+J recent; add live attention badges
Current tabs no longer appear in Recent Chats when idle—only working, blocked, or
unread agents keep the current slot visible. `done` no longer admits current tabs;
the user watched it complete on screen, so that slot goes elsewhere.
Add live attention badges to recent rows (working/permission/unread/done), matching
the tab-bar ladder. Freeze recent-section membership at open-time to keep row order
and inclusion synchronized instead of changing live.
* minor fix
(cherry picked from commit 082cc31703)
8bd61feb97