agent_ui: Restore last active agent panel entry (#57150)

Makes sure we can reload the last terminal, and also keeps track more
globally what your last agent type was so we can carry that over to new
workspaces

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
589dc95c87Ben Brandt committed on 5/19/2026, 2:07:09 PM· committed by GitHubparent3a82176
3 files changedLine totals unavailable