Add comprehensive debug logging to ITX proxy client

- Add logRequest() helper to log outgoing HTTP requests at DEBUG level
- Add logResponse() helper to log responses at DEBUG/ERROR level based on status code
- Add logging to all 28 ITX proxy client methods for request/response visibility
- Fix HTTP method in CreateInvitee from PUT to POST
- Fix HTTP method in UpdateInvitee from DELETE to PUT
- Capture method, URL, request body, status code, and response body in logs
- Enable troubleshooting of 404 errors and other API issues

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>

Signed-off-by: Andres Tobon <andrest2455@gmail.com>

Author: andrest50