adds playwright tests

web/tests/playwright/e2e/user/user.spec.ts

@@ -0,0 +1,11 @@
+import { test, expect } from '@playwright/test';
+
+test('logs the user out', async ({ page }) => {
+    await page.goto('/');
+    await page.getByRole('button', { name: 'avatar' }).click();
+    await page.locator(".menu .menu-item").filter({ hasText: "Logout" }).click();
+
+    const cookies = await page.context().cookies();
+    const pbAuthCookie = cookies.find(cookie => cookie.name === 'pb_auth');
+    expect(pbAuthCookie).toBeFalsy();
+});