refactor(backend): refactor logger

packages/backend/src/server/api/ApiLoggerService.ts

@@ -1,12 +1,14 @@
 import { Inject, Injectable } from '@nestjs/common';
-import Logger from '@/logger.js';
+import type Logger from '@/logger.js';
+import { LoggerService } from '@/core/LoggerService.js';
 
 @Injectable()
 export class ApiLoggerService {
 	public logger: Logger;
 
 	constructor(
+		private loggerService: LoggerService,
 	) {
-		this.logger = new Logger('api');
+		this.logger = this.loggerService.getLogger('api');
 	}
 }