[Bug] Branch picker search fails to find existing branches in Claude Code Desktop

Bug Description
Bug: Branch picker in Claude Code Desktop shows "No branches found" when searching for a branch that exists
Environment: Claude Code Desktop app
Steps to reproduce:

1. Open a repository in Claude Code Desktop where develop is set as the default branch on GitHub.
2. In the bottom bar, click the base branch selector (showing main with an arrow pointing to the feature branch).
3. Type develop (or any part of it) into the search field.

Expected behavior: The develop branch appears in the dropdown and can be selected as the base branch.
Actual behavior: The dropdown shows "No branches found", even though develop is the default branch of the repository and the app header correctly displays "Review code changes against develop branch".
Screenshot: The header reads "Review code changes against develop branch" while the branch picker simultaneously reports no results for the query deve.
Notes: The app appears to be aware of the develop branch (it shows it in the header) but the branch picker search does not find it.

Environment Info

• Platform: darwin
• Terminal: Apple_Terminal
• Version: 2.0.75
• Feedback ID: 9672d60b-628b-4f76-bab6-fcc1cb4c3300

<img width="1018" height="812" alt="Image" src="https://github.com/user-attachments/assets/320cb570-cb21-4e28-b504-eac3a7f2de5c" />