Replace console.log with structured logging for Cloud Run

- Add structured logger utility with Cloud Run trace context support
- Uses AsyncLocalStorage for request context propagation
- Replace all console.log/error/warn statements with structured logger
- Add logging middleware to capture request/response metadata
- Support Google Cloud Logging severity levels and trace correlation

🤖 Generated with [Claude Code](https://claude.ai/code)

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

src/services/redisTransport.ts

@@ -3,6 +3,7 @@ import { redisClient } from "../redis.js";
 import { Transport, TransportSendOptions } from "@modelcontextprotocol/sdk/shared/transport.js";
 import { AuthInfo } from "@modelcontextprotocol/sdk/server/auth/types.js";
 import { JSONRPCMessage, MessageExtraInfo } from "@modelcontextprotocol/sdk/types.js";
+import { logger } from "../utils/logger.js";
 
 let redisTransportCounter = 0;
 const notificationStreamId = "__GET_stream";
@@ -154,7 +155,10 @@ export class ServerRedisTransport implements Transport {
 
     // Set new timeout
     this.inactivityTimeout = setTimeout(() => {
-      console.log(`Session ${this._sessionId} timed out due to inactivity`);
+      logger.info('Session timed out due to inactivity', {
+        sessionId: this._sessionId,
+        timeoutMs: this.INACTIVITY_TIMEOUT_MS
+      });
       void shutdownSession(this._sessionId);
     }, this.INACTIVITY_TIMEOUT_MS);
   }