- docs/my-website/docs/providers/lm_studio.md: add Structured Output section with JSON schema and Pydantic examples
- litellm/llms/lm_studio/chat/transformation.py: extend map_openai_params to handle `response_format` mappings (`json_schema`, `json_object`) and move them to optional_params
- litellm/utils.py: include `LM_STUDIO` in `supports_response_schema` list
- tests/litellm/llms/lm_studio/test_lm_studio_chat_transformation.py: add tests for Pydantic model and dict-based JSON schema handling
Co-authored-by: Earl St Sauver <estasuver@gmail.com>