feat(api): add SearchModule with GET /search endpoint backed by Meilisearch

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

apps/api/src/app.module.ts

@@ -2,12 +2,14 @@ import { Module } from '@nestjs/common';
 import { ConfigModule } from '@nestjs/config';
 import { PrismaModule } from './prisma/prisma.module';
 import { HealthModule } from './modules/health/health.module';
+import { SearchModule } from './modules/search/search.module';
 
 @Module({
   imports: [
     ConfigModule.forRoot({ isGlobal: true }),
     PrismaModule,
     HealthModule,
+    SearchModule,
   ],
 })
 export class AppModule {}