chore: dockerize api proxy and add gitignore

Add a Docker-based FastAPI proxy skeleton (charter §4) for parity across
dev / homelab VPS / fly.io, plus root .gitignore for Godot 4.7 and Python.

- api/Dockerfile: python:3.12-slim, non-root, PORT-aware CMD
- api/app/main.py: /health + five role endpoint stubs (§4)
- api/requirements.txt: fastapi/uvicorn/httpx/pydantic, pinned
- docker-compose.yml: local dev with live reload
- api/fly.toml: prod deploy stub with /health check
- api/.env.example: key lives in the proxy, never the client (§4)
- .gitignore: ignores .env, whitelists .env.example

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

api/requirements.txt

@@ -0,0 +1,5 @@
+# FastAPI proxy runtime deps. Pinned from first resolve; bump deliberately.
+fastapi==0.139.0
+uvicorn[standard]==0.51.0
+httpx==0.28.1        # calling Ollama / Replicate
+pydantic==2.13.4     # request/response contracts