feat: add api liveness and readiness checks

backend/apps/api/src/main.ts

@@ -1,10 +1,16 @@
+import { RequestMethod } from '@nestjs/common';
 import { NestFactory } from '@nestjs/core';
 import { ApiModule } from './api.module';
 
 export async function bootstrapApi(): Promise<void> {
   const app = await NestFactory.create(ApiModule);
   app.enableShutdownHooks();
-  app.setGlobalPrefix('api/v1');
+  app.setGlobalPrefix('api/v1', {
+    exclude: [
+      { path: 'health/live', method: RequestMethod.GET },
+      { path: 'health/ready', method: RequestMethod.GET },
+    ],
+  });
   await app.listen(3000, '0.0.0.0');
 }