feat: scaffold monorepo with Turborepo + NestJS + Next.js

- Turborepo monorepo with pnpm workspaces
- apps/api: NestJS 11.x with CQRS module
- apps/web: Next.js 14 App Router + TailwindCSS
- src/modules/shared: base entities, Result pattern, value objects
- TypeScript 5.7+ strict mode, shared tsconfig base
- Build pipeline: dev, build, lint, test, typecheck

Co-Authored-By: Paperclip <noreply@paperclip.ing>

apps/api/src/app.controller.ts

@@ -0,0 +1,9 @@
+import { Controller, Get } from '@nestjs/common';
+
+@Controller()
+export class AppController {
+  @Get()
+  healthCheck() {
+    return { status: 'ok', service: 'goodgo-api' };
+  }
+}

apps/api/src/app.module.ts

@@ -0,0 +1,9 @@
+import { Module } from '@nestjs/common';
+import { CqrsModule } from '@nestjs/cqrs';
+import { AppController } from './app.controller';
+
+@Module({
+  imports: [CqrsModule.forRoot()],
+  controllers: [AppController],
+})
+export class AppModule {}

apps/api/src/main.ts

@@ -0,0 +1,11 @@
+import { NestFactory } from '@nestjs/core';
+import { AppModule } from './app.module';
+
+async function bootstrap() {
+  const app = await NestFactory.create(AppModule);
+  const port = process.env['PORT'] ?? 3001;
+  await app.listen(port);
+  console.log(`API running on http://localhost:${port}`);
+}
+
+bootstrap();