[Features] Local LM Studio Support

[leiwu0227]

Hello, thanks for the awesome package. When I try to use local models from LM Studio, and I get this image in the picture that says the model has to be public to be set as default model, but there is no way for me to change the scope. Am I doing anything wrong? Thanks

[Phil2025Code]

Hopefully you can find how to implement this feature looking at #1349

Since LiteLLM supports LMStudio (https://docs.litellm.ai/docs/providers/lm_studio), what you need to do is just to modify the code from #1349 by replacing 'ollama' with 'lm_studio', replacing '11434' with '1234' and using base_url=http://localhost:1234.

This is just my wild guesstimate without testing :)