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/components/ImageRefField.vue

@@ -0,0 +1,21 @@
+<script setup lang="ts">
+import type { ImageRef } from "@imen/shared";
+import FormField from "./FormField.vue";
+import ImageField from "./ImageField.vue";
+
+/** Edits an { url, alt } image stored inside section content */
+const image = defineModel<ImageRef>({ required: true });
+defineProps<{ path: string; label: string }>();
+</script>
+
+<template>
+  <FormField :path="`${path}.url`" :label="label" required>
+    <ImageField
+      :url="image.url"
+      @pick="(m) => (image = { url: m.url, alt: image.alt || m.alt })"
+    />
+  </FormField>
+  <FormField :path="`${path}.alt`" label="متن جایگزین تصویر (alt)" hint="برای سئو و دسترسی‌پذیری؛ تصویر را در یک جمله توصیف کنید">
+    <a-input v-model:value="image.alt" />
+  </FormField>
+</template>