feat: register auth routes in app

Made-with: Cursor

src/app.ts

@@ -4,6 +4,8 @@ import databasePlugin from './plugins/database.js';
 import redisPlugin from './plugins/redis.js';
 import securityPlugin from './plugins/security.js';
 import rateLimitPlugin from './plugins/rateLimit.js';
+import authPlugin from './plugins/auth.js';
+import { authRoutes } from './routes/auth.js';
 import { env } from './config/env.js';
 import { randomUUID } from 'node:crypto';
 
@@ -69,6 +71,8 @@ export async function buildApp(): Promise<FastifyInstance> {
   await app.register(databasePlugin);
   await app.register(securityPlugin);
   await app.register(rateLimitPlugin);
+  await app.register(authPlugin);
+  await app.register(authRoutes, { prefix: '/auth' });
 
   app.get('/health', async () => ({ status: 'ok', timestamp: new Date().toISOString() }));