refactor: migrate to monorepo structure with Docker, PocketBase, and e2e tests

- Reorganize into apps/, packages/, docs/, e2e/, pocketbase/ directories
- Add Dockerfiles for web, worker, and PocketBase services
- Add docker-compose.yml for local orchestration
- Add turbo.json for monorepo task management
- Add Playwright e2e test infrastructure
- Add PocketBase backend with migrations
- Remove Vite/Next.js/ESLint/PostCSS config files
- Update package.json with workspace dependencies
- Add .env.example and .dockerignore

apps/web/app/api/auth/logout/route.ts

@@ -0,0 +1,16 @@
+import { NextResponse } from 'next/server';
+
+export async function POST() {
+  const response = NextResponse.json({ success: true });
+
+  // Clear auth cookie
+  response.cookies.set('pb_auth', '', {
+    httpOnly: true,
+    secure: process.env.COOKIE_SECURE === 'true',
+    sameSite: 'lax',
+    path: '/',
+    maxAge: 0, // Expire immediately
+  });
+
+  return response;
+}