test: add authenticated admin browser workflow

playwright.config.js

@@ -0,0 +1,12 @@
+import { defineConfig } from '@playwright/test';
+
+export default defineConfig({
+  testDir: './apps/web/tests/e2e',
+  timeout: 30_000,
+  use: {
+    baseURL: process.env.E2E_BASE_URL ?? 'http://127.0.0.1:5173',
+    trace: 'on-first-retry',
+    screenshot: 'only-on-failure',
+  },
+  reporter: [['list']],
+});