feat(responder): Enhance tracing models and input data preparation for comprehensive observability

- Add new tracing models in `tracing_models.py` to support structured tracing data
- Refactor `_prepare_trace_input_data` method to use new `TraceInputData` model
- Update type hints and data extraction logic for tracing contexts
- Improve type safety and serialization of input data for tracing
- Simplify tracing context creation with more robust input handling
- Enhance error handling and metadata extraction for observability

Author: arthurbrenno