## Summary
- Add `enableSelectAppFromHomeChatInput` experiment setting with toggle
in Settings UI
- Conditionally render the app selector ("No app selected") in
HomeChatInput based on the setting
- Update e2e tests to enable the flag via `setUp()` UI toggle instead of
writing `user-settings.json` directly

## Test plan
- [ ] Verify the app selector is hidden by default on the home chat
input
- [ ] Enable the toggle in Settings > Experiments and verify the app
selector appears
- [ ] Run e2e tests: `npx playwright test home_chat_existing_app`

🤖 Generated with [Claude Code](https://claude.com/claude-code)
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Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>
Co-authored-by: claude[bot] <41898282+claude[bot]@users.noreply.github.com>