Reported by @pastel marten
Bug Report: worktree not clearing on codex app dropdown
`Steps to Reproduce`
- git clone a project
- point codex to project
- tell codex to do 3 parallel tasks and use worktrees
- check local project via git worktree list -v (codex removes the worktree when it merges)
- check the branch dropdown on the codex UI (lower left)
`Expected Result`
branches should match the 'git worktree list -v' on your local
`Actual Result`
old worktree / branches still there
`Environment`
Windows 11 Pro 23H2 22631.5335, Codex (GPT-5.3 Codex Medium)