Fix agent servers loading environment from home dir instead of project dir (#52763)

All local agent server types were calling `local_directory_environment`
with `paths::home_dir()`, causing direnv and shell environment to be
loaded from `~` rather than the project's worktree directory. This meant
project-specific `.envrc` variables (e.g. Google Vertex credentials)
were never picked up by external agents like Claude.

Added `default_environment()` on `ProjectEnvironment` that resolves the
default visible worktree path and uses it for environment loading,
falling back to home_dir() only when no worktree is available.

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

Closes #ISSUE

Release Notes:

- Fixed default environment variable context for external agents
f7ab907216Derek Parker committed on 3/31/2026, 3:37:20 PM· committed by GitHubparent0f173eb
2 files changedLine totals unavailable