feat: update LiveKit dependencies to latest versions

- Update @livekit/components-react from <1.5.0 to ^2.9.14
- Update livekit-client from ^1.15.13 to ^2.15.6
- All tests passing, no breaking changes detected
- Enhanced WebRTC audio chat functionality with latest features

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

Author: ctoth