feat(litellm): add LiteLLM as AI gateway provider #4739

Bugbot Review

Bugbot Analysis Progress (1m 14s elapsed)

✅ Gathered PR context (6s)
✅ Completed bug detection (1m 8s)
✅ Posted analysis results (1s)

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

Request ID: serverGenReqId_1b835cd5-13c2-4396-8da0-1d6b3fbd2c13

✅ Bugbot reviewed your changes and found no new issues!

Comment @cursor review or bugbot run to trigger another review on this PR

^{Reviewed by Cursor Bugbot for commit b965f70. Configure here.}