[BUG] No repositories available in Claude Code web repo picker despite GitHub App installed

### Preflight Checklist

- [x] I have searched [existing issues](https://github.com/anthropics/claude-code/issues?q=is%3Aissue%20state%3Aopen%20label%3Abug) and this hasn't been reported yet
- [x] This is a single bug report (please file separate reports for different bugs)
- [x] I am using the latest version of Claude Code

### What's Wrong?

My GitHub repositories do not appear in the repository picker on claude.ai/code. The picker shows "No repositories available" / "No repos match" even though the Claude GitHub App is correctly installed with repository access granted.

**What Should Happen?**
All repositories the Claude GitHub App has access to should appear in the repository picker so I can select one and start a session.

**Steps to Reproduce**
- Go to claude.ai/code
- Click "Select repo..."
- No repositories appear / search returns no results

**Steps already tried (no effect)**
- Confirmed Claude GitHub App is installed with repository access granted
- Confirmed GitHub Integration shows "Connected" in Claude.ai Settings → Connectors
- Disconnected and reconnected the GitHub Integration connector
- Hard refreshed the page / tried incognito

**Setup**
- GitHub username: Francesco89pro
- Claude plan: Pro
- This looks like the same backend repository indexing issue reported in other recent issues (#57161, #60493, #60637, #93959, #94046). Could someone trigger a backend repository index reset for my account?

### What Should Happen?

All repositories the Claude GitHub App has access to should appear in the repository picker so I can select one and start a session.

### Error Messages/Logs

```shell
No repositories available
No repos match
```

### Steps to Reproduce

- Go to claude.ai/code
- Click "Select repo..."
- No repositories appear / search returns no results

### Claude Model

Sonnet (default)

### Is this a regression?

I don't know

### Last Working Version

_No response_

### Claude Code Version

N/A - Claude Code on the web (claude.ai/code)

### Platform

Anthropic API

### Operating System

macOS

### Terminal/Shell

Terminal.app (macOS)

### Additional Information

_No response_