fix: HttpToSocketExceptionFilter logger 추가

src/chat/application/http-to-socket-exception.filter.ts

@@ -1,11 +1,22 @@
-import { ArgumentsHost, Catch, HttpException } from '@nestjs/common';
+import { ArgumentsHost, Catch, HttpException, Logger } from '@nestjs/common';
 import { BaseWsExceptionFilter } from '@nestjs/websockets';
 
 @Catch(HttpException)
 export class HttpToSocketExceptionFilter extends BaseWsExceptionFilter<HttpException> {
+  private readonly logger = new Logger(HttpToSocketExceptionFilter.name);
+
   // BaseWsExceptionFilter를 상속하면 Ws관련 Exception을 만들 수 있다.
 
   catch(exception: HttpException, host: ArgumentsHost): void {
+    const status = exception.getStatus();
+    if (500 <= status) {
+      this.logger.error('Server error', exception.message);
+    }
+
+    if (400 <= status && status < 500) {
+      this.logger.warn('BadRequest', exception.message);
+    }
+
     const socket = host.switchToWs().getClient(); // 소켓 가져오기
     socket.emit('exception', exception.getResponse());
   }