sidebar: Fix stale sidebar thread header state (#57017)

There was a case where if you archived or closed all threads, you
wouldn't see the empty state again.

Self-Review Checklist:

- [x] I've reviewed my own diff for quality, security, and reliability
- [x] Unsafe blocks (if any) have justifying comments
- [x] The content is consistent with the [UI/UX
checklist](https://github.com/zed-industries/zed/blob/main/CONTRIBUTING.md#uiux-checklist)
- [x] Tests cover the new/changed behavior
- [x] Performance impact has been considered and is acceptable

Release Notes:

- N/A
ad437c93c2Ben Brandt committed on 5/19/2026, 2:43:38 PM· committed by GitHubparentc5f6fca
3 files changedLine totals unavailable