agent_ui: Persist external agent selections as defaults (#57511)

Matches behavior from selectors between Zed + external agents.

Also means they will persist across worktree creation :tada:

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
4bee412118Ben Brandt committed on 5/26/2026, 3:11:19 PM· committed by GitHubparentb20cd41
6 files changedLine totals unavailable