Replace @gorhom/bottom-sheet with React Native's native Modal component and implement custom slide-in/slide-out animations using Reanimated. This provides better control over modal behavior and animations while reducing dependency on external libraries.
Key changes:
- Replace BottomSheetModal with native Modal component
- Implement custom slide animations using Reanimated shared values
- Add backdrop fade in/out animations
- Extract modal sections into focused components (ModalHeader, WorkingDirectorySection, AssistantSelector, ModeSelector, WorktreeSection)
- Add responsive layout support with compact/wide screen detection
- Fix keyboard animation to use transform instead of padding
- Improve modal lifecycle management with mount/unmount state tracking
🤖 Generated with [Claude Code](https://claude.com/claude-code)
Co-Authored-By: Claude <noreply@anthropic.com>
