### Check for existing issues

- [x] I have searched the existing issues and checked that my issue is not a duplicate.

### The Feature

Add support for using Claude Code through the official Claude CLI / Agent SDK, for example `claude -p`, as a LiteLLM provider.

The goal is to allow users to use their existing official Claude Code authentication without extracting tokens or reusing session credentials manually.

### Motivation, pitch

Some current unofficial approaches depend on extracting Claude subscription/session tokens. This is unsafe and may violate Anthropic policies or risk account termination.

A LiteLLM integration that calls the official Claude Code CLI / Agent SDK would be safer and more compliant.

Desired behavior: - Configure LiteLLM to use the local Claude Code CLI / Agent SDK - Use official Claude Code authentication - Do not extract, scrape, or replay tokens - Support basic chat/completion - Support streaming if possible

This would help users integrate Claude Code with LiteLLM in a legal and policy-compliant way.

### What part of LiteLLM is this about?

Proxy

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