Fix reconnect broker: share session cookie across subdomains

Frontend (app.quantfortune.com) fetches API (api.quantfortune.com).
With SameSite=Lax the browser won't send the cookie on cross-origin
fetch calls, so the server sees no session and the request fails.

Adding COOKIE_DOMAIN=.quantfortune.com makes the cookie valid for
all subdomains. Mohan needs to add this to .env and restart.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

backend/.env.example

@@ -11,6 +11,8 @@ RESET_OTP_SECRET=
 # ── Environment ───────────────────────────────────────────────────────────────
 APP_ENV=production
 CORS_ORIGINS=https://quantfortune.com,https://www.quantfortune.com,https://app.quantfortune.com,https://www.app.quantfortune.com
+# Required when frontend and API are on different subdomains (e.g. app. vs api.)
+COOKIE_DOMAIN=.quantfortune.com
 
 # ── Database ──────────────────────────────────────────────────────────────────
 DATABASE_URL=postgresql://user:password@localhost:5432/quantfortune

backend/app/routers/auth.py

@@ -19,6 +19,7 @@ APP_ENV = (os.getenv("APP_ENV") or os.getenv("ENVIRONMENT") or os.getenv("FASTAP
 IS_PRODUCTION = APP_ENV in {"prod", "production"}
 COOKIE_SECURE = True if IS_PRODUCTION else os.getenv("COOKIE_SECURE", "0") == "1"
 COOKIE_SAMESITE = (os.getenv("COOKIE_SAMESITE") or "lax").lower()
+COOKIE_DOMAIN = (os.getenv("COOKIE_DOMAIN") or "").strip() or None
 if IS_PRODUCTION and not COOKIE_SECURE:
     raise RuntimeError("Secure session cookies are mandatory in production")
 
@@ -33,6 +34,7 @@ def _set_session_cookie(response: Response, session_id: str):
         max_age=SESSION_TTL_SECONDS,
         secure=COOKIE_SECURE,
         path="/",
+        domain=COOKIE_DOMAIN,
     )