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/admin/src/App.vue

@@ -0,0 +1,21 @@
+<script setup lang="ts">
+import { theme } from "ant-design-vue";
+import faIR from "ant-design-vue/es/locale/fa_IR";
+
+const antdTheme = {
+  algorithm: theme.defaultAlgorithm,
+  token: {
+    colorPrimary: "#ff5a00",
+    colorInfo: "#ff5a00",
+    colorLink: "#e04f00",
+    fontFamily: '"IRANSans", Tahoma, sans-serif',
+    borderRadius: 8,
+  },
+};
+</script>
+
+<template>
+  <a-config-provider :theme="antdTheme" direction="rtl" :locale="faIR">
+    <RouterView />
+  </a-config-provider>
+</template>