fix(claude): isolate capability probe from user MCP servers - #4015

Bugbot Analysis Progress (2m 10s elapsed)

✅ Gathered PR context (6s)
✅ Completed bug detection (2m 2s)
✅ Posted analysis results (1s)

Final Result: Bugbot completed review - no issues found! ✅

Request ID: serverGenReqId_cca56261-50be-464d-8073-180b4e426840