At this point I'd highly recommend everyone to think twice before introducing any dependencies especially from untrusted sources. If you have to interact with many APIs maybe use a proxy instead, or roll your own.
LiteLLM isn't a good choice for a proxy in any case. It introduces a lot of lag amd latency and the features are often half baked. To me, it looks like a vibecoded application without a product owner. And the code itself isn't very organized either. I evaluated it for a project a few months ago and will never use it for anything production.
Theres a few much better alternatives out there.
If your requirements are just to load balance between selhosted AI servers: nginx. If you want a more thorough system with configurability, logging, etc.: Bifrost from MaximAI