Update the skill to match the current services API

CLAUDE.md

@@ -1 +1,4 @@
-1. treat `stream_step` and `stream_loop` as user code. they are convenience functions that could be reimplemented by the user, they *must* stay clean.
+1. use `uv` to manage the project; `uv add` and `uv remove` to manage dependencies, `uv run` to run
+2. after making changes run lint and typecheck: `uv run ruff check --fix src tests` and `uv run mypy src tests`
+3. import by module (except `typing`) to improve readability via namespacing
+4. treat `stream_step` and `stream_loop` as user code. they are convenience functions that could be reimplemented by the user, they *must* stay clean.

skills/vercel-python-services/SKILL.md

@@ -10,13 +10,12 @@ Build multi-service projects using Vercel's `experimentalServices` API with a Py
 ## Setup
 
 1. Create the project files (see references for the minimal working example). Choose frameworks for each service according to user's requests.
-2. Ensure backend routes match the prefix specified in `vercel.json` (e.g. for `"routePrefix": "/api"` it is `@app.get("/api/health")`, not `@app.get("/health")`)
+2. Define backend routes without the `/api` prefix (e.g. `@app.get("/health")`). Vercel strips the prefix before forwarding to the backend.
 3. Validate services in `vercel.json` have `entrypoint` and `routePrefix`, but no extra unknown fields, otherwise that will cause preview to crash
 
 Only `vercel.json` lives at the root. Each service manages its own dependencies independently.
 
 ## Usage
 
 - Use `vercel dev -L` from the project root to run all services as one application. The CLI will handle each individual service's routing and dev server and put the application on port 3000.
-- Backend routes MUST include the full path with `/api` prefix (e.g. `@app.get("/api/health")`).
-- Frontend calls `/api/...` — no localhost URLs, no proxy needed.
+- Frontend calls `/api/...` — Vercel routes these to the backend, which sees only the path after the prefix. No localhost URLs, no proxy needed.

skills/vercel-python-services/references/fastapi-vite/backend/main.py

@@ -12,6 +12,6 @@
 )
 
 
-@app.get("/api/health")
+@app.get("/health")
 async def health() -> dict[str, str]:
     return {"status": "ok"}