feat: power optimization and stability improvements

[shift]

Summary

• Add comprehensive power optimization report detailing performance issues and solutions
• Implement optimizations for API calls, animations, and timers
• Fix LSP process management issues
• Add proper connection status handling and file logging
• Implement improved error handling and recovery

This PR is part of the initiative to improve the TUI application's power efficiency and stability. It includes both documentation of the planned improvements and initial implementation of critical fixes.