feat: Generalize Gemini API routing to `/v1beta/*` for all methods and dynamically forward the original request method and body.

feat: Add Gemini API support and refactor proxy logic for multi-provider extensibility.

fix: add root route for HF Spaces health probe

fix: reuse existing node user (uid 1000) in Dockerfile

fix: add HF Spaces YAML frontmatter to README

feat: initial LLM gateway proxy for Claude Code