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>

packages/config/typescript/base.json

@@ -0,0 +1,30 @@
+{
+  "$schema": "https://json.schemastore.org/tsconfig",
+  "compilerOptions": {
+    "strict": true,
+    "strictNullChecks": true,
+    "strictFunctionTypes": true,
+    "strictBindCallApply": true,
+    "strictPropertyInitialization": true,
+    "noImplicitAny": true,
+    "noImplicitThis": true,
+    "noImplicitReturns": true,
+    "noFallthroughCasesInSwitch": true,
+    "noUncheckedIndexedAccess": true,
+    "noUnusedLocals": true,
+    "noUnusedParameters": true,
+    "exactOptionalPropertyTypes": true,
+    "forceConsistentCasingInFileNames": true,
+    "esModuleInterop": true,
+    "skipLibCheck": true,
+    "moduleResolution": "bundler",
+    "resolveJsonModule": true,
+    "isolatedModules": true,
+    "declaration": true,
+    "declarationMap": true,
+    "sourceMap": true,
+    "target": "ES2022",
+    "module": "ESNext",
+    "lib": ["ES2022"]
+  }
+}

packages/config/typescript/library.json

@@ -0,0 +1,7 @@
+{
+  "$schema": "https://json.schemastore.org/tsconfig",
+  "extends": "./base.json",
+  "compilerOptions": {
+    "composite": true
+  }
+}

packages/config/typescript/nestjs.json

@@ -0,0 +1,12 @@
+{
+  "$schema": "https://json.schemastore.org/tsconfig",
+  "extends": "./base.json",
+  "compilerOptions": {
+    "module": "CommonJS",
+    "moduleResolution": "node",
+    "emitDecoratorMetadata": true,
+    "experimentalDecorators": true,
+    "incremental": true,
+    "target": "ES2022"
+  }
+}

packages/config/typescript/nextjs.json

@@ -0,0 +1,18 @@
+{
+  "$schema": "https://json.schemastore.org/tsconfig",
+  "extends": "./base.json",
+  "compilerOptions": {
+    "lib": ["DOM", "DOM.Iterable", "ES2022"],
+    "jsx": "preserve",
+    "module": "ESNext",
+    "moduleResolution": "bundler",
+    "allowJs": true,
+    "noEmit": true,
+    "incremental": true,
+    "plugins": [
+      {
+        "name": "next"
+      }
+    ]
+  }
+}