- Updated the `append` function to include a flag for replacing closing requests, improving request handling.
- Refactored the `run_sse_handler` and `bidi_handler` functions to utilize a new tracing mechanism, enhancing observability.
- Introduced a new `trace_outcome` function to standardize tracing outcomes for requests.
- Removed the `CursorTraceRecorder` in favor of a new `CursorTraceService` for better performance and non-blocking behavior.
- Added tests to validate the new tracing functionality and ensure correct behavior during request processing.
