feat(v2): boot /v2/dashboard through OrganizerLayoutV2 + AppShellV2

Replaces the Task 3 stub in pages-v2/dashboard.vue with the boot-proof
page (data-testid v2-dashboard, correct definePage meta). Adds the
Playwright CT smoke (appshell-boot.spec.ts) that mounts AppShellV2 in
Chromium and asserts both the shell root and slot content are visible;
uses page scope for the root-element assertion (CT component locator
only matches descendants, not the root itself). Full Plan-1 gate green:
typecheck 0 new errors, eslint clean, 5 vitest files / 21 tests + 2
component tests, vite build succeeded, typed-router has v2-dashboard.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

apps/app/src/pages-v2/dashboard.vue

@@ -1,9 +1,17 @@
 <script setup lang="ts">
+// First v2 page — boot proof (RFC-WS-GUI-REDESIGN Plan 1). `public`
+// keeps it reachable without auth wiring during the foundation slice;
+// it is removed when the real dashboard lands in a later plan.
 definePage({ meta: { layout: 'OrganizerLayoutV2', public: true } })
 </script>
 
 <template>
-  <div data-testid="v2-dashboard-placeholder">
+  <section data-testid="v2-dashboard">
-    v2 dashboard
+    <h1 class="text-xl font-semibold text-surface-900 dark:text-surface-0">
-  </div>
+      v2 foundation OK
+    </h1>
+    <p class="mt-2 text-surface-600 dark:text-surface-300">
+      AppShellV2 skeleton renders this route at /v2/dashboard.
+    </p>
+  </section>
 </template>

apps/app/tests/playwright-ct/v2/appshell-boot.spec.ts

@@ -0,0 +1,19 @@
+import { expect, test } from '@playwright/experimental-ct-vue'
+import AppShellV2 from '@/layouts/components/AppShellV2.vue'
+
+// Pinia is set up globally by playwright/index.ts's beforeMount hook
+// (createPinia per test). We do NOT use @pinia/testing's
+// createTestingPinia here: it requires Vitest's `vi.fn`, which is
+// absent in Playwright's Node runtime. See playwright/index.ts §Pinia.
+
+test('AppShellV2 mounts and renders content in the CT runner', async ({ mount, page }) => {
+  await mount(AppShellV2, {
+    slots: { default: '<section data-testid="v2-dashboard">v2 foundation OK</section>' },
+  })
+
+  // `data-testid="appshell-v2"` is on the component's own root element,
+  // so we query the page rather than the component locator (which only
+  // matches descendants of the root, not the root itself in CT).
+  await expect(page.getByTestId('appshell-v2')).toBeVisible()
+  await expect(page.getByTestId('v2-dashboard')).toContainText('v2 foundation OK')
+})