feat(logging): add trace ID propagation via AsyncLocalStorage

- add TraceInterceptor that reads x-trace-id header or generates a UUID
- add AsyncLocalStorage store in common/trace-context for request-scoped trace ID
- replace NestJS Logger with TraceLogger (extends ConsoleLogger) that injects trace ID into log context
- register TraceInterceptor globally before LoggingInterceptor
- move HealthController into HealthModule so global interceptors apply to /healthz
- omit body/response from log lines when empty or null

src/auth/auth.service.ts

@@ -2,9 +2,9 @@ import {
   Injectable,
   BadRequestException,
   InternalServerErrorException,
-  Logger,
   NotFoundException,
 } from '@nestjs/common';
+import { TraceLogger } from '../common/trace-logger';
 import { ConfigService } from '@nestjs/config';
 import { chromium } from 'playwright';
 import * as fs from 'fs';
@@ -21,7 +21,7 @@ interface KeyDescriptor {
 
 @Injectable()
 export class AuthService {
-  private readonly logger = new Logger(AuthService.name);
+  private readonly logger = new TraceLogger(AuthService.name);
   private readonly keysDir: string;
 
   constructor(