docs: add logging improvements documentation

Documented the synchronous method logging enhancements:

Key Improvements:
1. Execution mode annotation: '(synchronous mode)'
2. Performance awareness: Suggests async method when applicable
3. Consistent logging format with async method

Benefits for Users:
✅ Distinguish sync vs async execution
✅ Identify performance optimization opportunities
✅ Debug tool execution issues
✅ Filter and analyze logs effectively

Includes:
- Before/after comparisons
- Usage scenarios
- Log filtering examples
- Best practices
- Performance impact analysis

Related: 71f9191

Author: JGoP-L