feat: Add debug mode to inspect LLM prompts and responses
- Add DebugContext to track all LLM interactions
- Create DebugPanel component with floating UI
- Track prompts/responses in Tutor component (move analysis, hints, questions)
- Track prompts/responses in Analysis page (move commentary)
- Add NEXT_PUBLIC_DEBUG environment variable to enable/disable
- Include metadata (FEN, personality, language, etc.) in debug entries
- Add copy-to-clipboard and clear functionality
- Add DEBUG_MODE.md documentation
Stefan
c319904f00