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>

docker-compose.dev.yml

@@ -0,0 +1,34 @@
+# Local infrastructure for development: PostgreSQL + MinIO (S3-compatible storage).
+# The apps themselves run on the host with `pnpm dev`.
+services:
+  postgres:
+    image: docker.arvancloud.ir/postgres:18-alpine
+    environment:
+      POSTGRES_USER: imen
+      POSTGRES_PASSWORD: imen
+      POSTGRES_DB: imen
+    ports:
+      - "${POSTGRES_PORT:-5433}:5432"
+    volumes:
+      - pgdata:/var/lib/postgresql
+    healthcheck:
+      test: ["CMD-SHELL", "pg_isready -U imen -d imen"]
+      interval: 5s
+      timeout: 3s
+      retries: 10
+
+  minio:
+    image: docker.arvancloud.ir/minio/minio:latest
+    command: server /data --console-address ":9001"
+    environment:
+      MINIO_ROOT_USER: imen
+      MINIO_ROOT_PASSWORD: imen-secret-key
+    ports:
+      - "9000:9000" # S3 API
+      - "9001:9001" # web console
+    volumes:
+      - miniodata:/data
+
+volumes:
+  pgdata:
+  miniodata: