feat: implement Redis session management and user authentication flow

app/game-api/package.json

@@ -20,6 +20,7 @@
         "@sammo-ts/infra": "workspace:*",
         "@trpc/server": "^11.4.4",
         "fastify": "^5.3.3",
+        "redis": "^4.7.0",
         "zod": "^4.2.1"
     }
 }