style(logging): clean up log format with ISO8601 timestamps and no PID prefix

- override getTimestamp() to emit ISO 8601 instead of locale string
- override formatMessage() to drop PID prefix and level padding
- enable timestamp: true so timestampDiff (+Nms) appears on each line
- pass TraceLogger instance to NestFactory so framework logs use same format

src/common/trace-logger.ts

@@ -1,7 +1,28 @@
-import { ConsoleLogger } from '@nestjs/common';
+import { ConsoleLogger, ConsoleLoggerOptions, LogLevel } from '@nestjs/common';
 import { getTraceId } from './trace-context';
 
 export class TraceLogger extends ConsoleLogger {
+  constructor(context?: string, options: ConsoleLoggerOptions = {}) {
+    super(context as string, options);
+  }
+
+  protected override getTimestamp(): string {
+    return new Date().toISOString();
+  }
+
+  protected override formatMessage(
+    logLevel: LogLevel,
+    message: unknown,
+    _pidMessage: string,
+    _formattedLogLevel: string,
+    contextMessage: string,
+    timestampDiff: string,
+  ): string {
+    const output = this.stringifyMessage(message, logLevel);
+    const level = this.colorize(logLevel.toUpperCase(), logLevel);
+    return `${this.getTimestamp()} ${level} ${contextMessage}${output}${timestampDiff}\n`;
+  }
+
   protected override formatContext(context: string): string {
     const traceId = getTraceId();
     const traced = traceId ? `${context}:${traceId}` : context;

src/main.ts

@@ -11,7 +11,7 @@ import { name as pkgName, version as pkgVersion } from '../package.json';
 
 async function bootstrap() {
   const logger = new TraceLogger('Bootstrap');
-  const app = await NestFactory.create(AppModule);
+  const app = await NestFactory.create(AppModule, { logger: new TraceLogger('Bootstrap', { timestamp: true }) });
 
   app.useGlobalPipes(new ValidationPipe({ transform: true }));
   app.useGlobalFilters(new HttpExceptionFilter());