feat(api-sync): implement sync push endpoint with idempotency

apps/api/src/sync/sync.module.ts

@@ -0,0 +1,11 @@
+import { Module } from "@nestjs/common";
+import { PrismaModule } from "../prisma/prisma.module";
+import { SyncController } from "./sync.controller";
+import { SyncService } from "./sync.service";
+
+@Module({
+  imports: [PrismaModule],
+  controllers: [SyncController],
+  providers: [SyncService]
+})
+export class SyncModule {}