chore: migrate backend to monorepo apps and biome

apps/auth/src/auth.controller.ts

@@ -0,0 +1,12 @@
+import { Controller, Get } from '@nestjs/common';
+import { AuthService } from './auth.service';
+
+@Controller()
+export class AuthController {
+  constructor(private readonly authService: AuthService) {}
+
+  @Get()
+  getHello(): string {
+    return this.authService.getHello();
+  }
+}