feat(#1): Set up monorepo scaffold with pnpm workspaces + TurboRepo

Implements the foundational project structure including:
- pnpm workspaces configuration
- TurboRepo for build orchestration
- NestJS 11.1.12 API (apps/api)
- Next.js 16.1.6 web app (apps/web)
- Shared packages (config, shared, ui)
- TypeScript strict mode configuration
- ESLint + Prettier setup
- Vitest for unit testing (19 passing tests)

Fixes #1

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

apps/api/src/app.module.js

@@ -0,0 +1,23 @@
+"use strict";
+var __decorate = (this && this.__decorate) || function (decorators, target, key, desc) {
+    var c = arguments.length, r = c < 3 ? target : desc === null ? desc = Object.getOwnPropertyDescriptor(target, key) : desc, d;
+    if (typeof Reflect === "object" && typeof Reflect.decorate === "function") r = Reflect.decorate(decorators, target, key, desc);
+    else for (var i = decorators.length - 1; i >= 0; i--) if (d = decorators[i]) r = (c < 3 ? d(r) : c > 3 ? d(target, key, r) : d(target, key)) || r;
+    return c > 3 && r && Object.defineProperty(target, key, r), r;
+};
+Object.defineProperty(exports, "__esModule", { value: true });
+exports.AppModule = void 0;
+const common_1 = require("@nestjs/common");
+const app_controller_1 = require("./app.controller");
+const app_service_1 = require("./app.service");
+let AppModule = class AppModule {
+};
+exports.AppModule = AppModule;
+exports.AppModule = AppModule = __decorate([
+    (0, common_1.Module)({
+        imports: [],
+        controllers: [app_controller_1.AppController],
+        providers: [app_service_1.AppService],
+    })
+], AppModule);
+//# sourceMappingURL=app.module.js.map