feat: monorepo with NestJS API, admin panel and DB-driven website

Restructure the repo into a pnpm + Turborepo monorepo:

- apps/web: Nuxt 4 site, now server-rendered and reading all content
  from the API; pages cached with SWR and purged on content changes
- apps/api: NestJS 12 + Prisma 7 + PostgreSQL. Auth with short-lived
  access tokens and rotating httpOnly refresh cookies, roles (ADMIN,
  EDITOR), catalog, editable site sections, media upload to S3-compatible
  storage (converted to WebP), contact messages, audit log
- apps/admin: Vue 3 admin panel (Ant Design Vue, Pinia, Tailwind) for
  products, categories, site sections, messages, media and users
- packages/shared: Zod schemas and types shared by API and admin

Also:
- seed script that loads the original 8 categories / 89 products and
  section content
- Docker images for api (with a one-off migrate service), web, admin,
  and an nginx gateway for both domains
- dev and production compose files, daily database backup service
- API e2e tests

Removes the committed static out/ build and the old root Dockerfile.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/web/package.json

@@ -0,0 +1,33 @@
+{
+  "name": "@imen/web",
+  "private": true,
+  "version": "0.3.0",
+  "type": "module",
+  "scripts": {
+    "dev": "nuxt dev --port 3000",
+    "build": "nuxt build",
+    "generate": "nuxt generate",
+    "start": "node .output/server/index.mjs",
+    "typecheck": "nuxt typecheck",
+    "postinstall": "nuxt prepare"
+  },
+  "dependencies": {
+    "@imen/shared": "workspace:*",
+    "@pinia/nuxt": "^1.0.2",
+    "@vueuse/core": "^15.0.0",
+    "ant-design-vue": "^4.2.6",
+    "lucide-vue-next": "^0.475.0",
+    "motion-v": "^2.6.0",
+    "nuxt": "^4.5.2",
+    "pinia": "^4.0.3",
+    "vue": "^3.5.43",
+    "vue-router": "^5.3.1"
+  },
+  "devDependencies": {
+    "@tailwindcss/vite": "^4.1.17",
+    "@types/node": "^24.0.0",
+    "tailwindcss": "^4.1.17",
+    "typescript": "~5.9.3",
+    "vue-tsc": "^3.3.12"
+  }
+}