agent: Reset panel thread picker after git worktree creation (#53372)

After a user creates successfully creates a new git worktree we reset
the agent thread picker state to avoid accidentally creating a new
worktree for a thread.

This also fixes some bugs where a past agent thread picker state was
invalid because it became out of sync after a new worktree was created,
or when a mutating git operation occurred.

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 or Added/Fixed/Improved ...
8b65a99157Anthony Eid committed on 4/8/2026, 7:24:57 AM· committed by GitHubparent783e062
1 file changedLine totals unavailable