refactor: 관리자 콘솔을 별도 프로젝트(dognation_AT)로 분리 — PT에서 관리자 코드 제거

- 관리자 페이지/스토어/API 삭제(adminAuth·adminMembers·adminStats·AdminLayout·pages/admin)
- 라우터에서 /admin 경로·관리자 가드 제거 (사용자 앱 라우팅만 유지)
- 공용 저수준(http put/del 등)은 dogs API 등이 사용하므로 유지

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

src/layouts/AdminLayout.vue

@@ -1,70 +0,0 @@
-<template>
-  <q-layout view="hHh Lpr lFf">
-    <!-- 헤더 -->
-    <q-header elevated class="bg-primary text-white">
-      <q-toolbar>
-        <q-btn flat dense round icon="menu" aria-label="메뉴" @click="drawer = !drawer" />
-        <q-toolbar-title class="text-weight-bold">
-          <q-icon name="pets" class="q-mr-sm" />산책갈개 관리자
-        </q-toolbar-title>
-
-        <q-chip dense color="white" text-color="primary" icon="admin_panel_settings">
-          {{ admin.member?.nickname ?? '관리자' }}
-        </q-chip>
-        <q-btn flat dense round icon="logout" aria-label="로그아웃" @click="onLogout" />
-      </q-toolbar>
-    </q-header>
-
-    <!-- 좌측 사이드 메뉴 -->
-    <q-drawer v-model="drawer" show-if-above bordered :width="240" class="bg-grey-1">
-      <q-list padding>
-        <q-item-label header class="text-grey-7">관리 메뉴</q-item-label>
-
-        <q-item
-          v-for="item in menu"
-          :key="item.name"
-          clickable
-          :to="{ name: item.name }"
-          active-class="text-primary bg-blue-1"
-          exact
-        >
-          <q-item-section avatar>
-            <q-icon :name="item.icon" />
-          </q-item-section>
-          <q-item-section>{{ item.label }}</q-item-section>
-        </q-item>
-      </q-list>
-    </q-drawer>
-
-    <!-- 바디 -->
-    <q-page-container>
-      <router-view />
-    </q-page-container>
-
-    <!-- 풋터 -->
-    <q-footer class="bg-white text-grey-6">
-      <div class="text-caption text-center q-py-sm">© 2026 산책갈개 · 관리자 콘솔</div>
-    </q-footer>
-  </q-layout>
-</template>
-
-<script setup lang="ts">
-import { ref } from 'vue'
-import { useRouter } from 'vue-router'
-import { useAdminAuthStore } from '@/stores/adminAuth'
-
-const router = useRouter()
-const admin = useAdminAuthStore()
-
-const drawer = ref(true)
-
-const menu = [
-  { name: 'admin-dashboard', label: '대시보드', icon: 'dashboard' },
-  { name: 'admin-members', label: '회원 관리', icon: 'group' },
-]
-
-async function onLogout() {
-  await admin.logout()
-  await router.replace({ name: 'admin-login' })
-}
-</script>