chore: migrate backend to monorepo apps and biome

apps/auth/src/auth.module.ts

@@ -0,0 +1,10 @@
+import { Module } from '@nestjs/common';
+import { AuthController } from './auth.controller';
+import { AuthService } from './auth.service';
+
+@Module({
+  imports: [],
+  controllers: [AuthController],
+  providers: [AuthService],
+})
+export class AuthModule {}