PC3 Phase 3.3: rate-limit the auth endpoints

app/rate_limit.py: an in-process sliding-window limiter (single-worker
backend, so no Redis needed -- flagged for if that changes). /register and
/login are capped at 10 attempts / minute / client IP (X-Forwarded-For
aware), returning 429 + Retry-After past that. Blunts credential
brute-force, which the backend had no protection against.

- conftest.py resets the limiter between tests (every TestClient request
  looks like one IP).
- tests/test_rate_limit.py: threshold, shared bucket, per-key window. 77 passed.

CORS reviewed while here: already an explicit origin allowlist
(settings.CORS_ORIGINS), not "*" -- and the Godot client isn't a browser
so it doesn't apply there anyway. Left as-is.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_015jtxAiu5dAW4WxCNdGkrkJ

backend/app/rate_limit.py

@@ -0,0 +1,63 @@
+"""Lightweight in-process rate limiting.
+
+The backend runs single-worker (required by the game-server supervisor), so a
+process-local sliding-window counter is sufficient and needs no Redis. Keyed
+by client IP. Used to blunt credential brute-force on the auth endpoints.
+
+If the backend is ever scaled to multiple workers/hosts this must move to a
+shared store (Redis) -- flagged here rather than silently under-enforcing.
+"""
+from __future__ import annotations
+
+import time
+from collections import defaultdict, deque
+
+from fastapi import HTTPException, Request, status
+
+
+class SlidingWindowLimiter:
+    def __init__(self, max_hits: int, window_seconds: float) -> None:
+        self.max_hits = max_hits
+        self.window = window_seconds
+        self._hits: dict[str, deque[float]] = defaultdict(deque)
+
+    def check(self, key: str) -> None:
+        now = time.monotonic()
+        q = self._hits[key]
+        cutoff = now - self.window
+        while q and q[0] < cutoff:
+            q.popleft()
+        if len(q) >= self.max_hits:
+            retry = max(1, int(q[0] + self.window - now))
+            raise HTTPException(
+                status_code=status.HTTP_429_TOO_MANY_REQUESTS,
+                detail="Too many attempts. Try again shortly.",
+                headers={"Retry-After": str(retry)},
+            )
+        q.append(now)
+
+    def reset(self) -> None:
+        self._hits.clear()
+
+
+def _client_key(request: Request) -> str:
+    # X-Forwarded-For first hop when behind the reverse proxy, else the socket.
+    fwd = request.headers.get("x-forwarded-for", "")
+    if fwd:
+        return fwd.split(",")[0].strip()
+    return request.client.host if request.client else "unknown"
+
+
+# 10 auth attempts / minute / IP -- generous for a human, painful for a
+# brute-forcer.
+_auth_limiter = SlidingWindowLimiter(max_hits=10, window_seconds=60)
+
+
+async def auth_rate_limit(request: Request) -> None:
+    """FastAPI dependency: rate-limit auth attempts per client IP."""
+    _auth_limiter.check(f"auth:{_client_key(request)}")
+
+
+def reset_all() -> None:
+    """Test hook."""
+    _auth_limiter.reset()