feat: Implement user profile and parent profile button tests

- Added tests for user profile editing, including name changes, image uploads, and password changes.
- Implemented tests for changing the parent PIN with verification code handling.
- Created tests for account deletion with confirmation dialog and email validation.
- Introduced parent profile button tests for both temporary and permanent modes, verifying badge visibility and menu options.
- Updated Playwright configuration to include new test buckets for user profile and parent profile button scenarios.
- Added e2e plans documentation for user profile and parent profile button tests.

frontend/vue-app/e2e/mode_parent/tasks/penalty-default.spec.ts

@@ -29,9 +29,12 @@ test.describe('Default penalty management', () => {
     }
 
     // locate default penalty
-    await expect(page.locator('text=Fighting')).toBeVisible()
+    await expect(page.getByText('Fighting', { exact: true })).toBeVisible()
     await expect(
-      page.locator('text=Fighting >> .. >> button[aria-label="Delete item"]'),
+      page
+        .getByText('Fighting', { exact: true })
+        .locator('..')
+        .locator('button[aria-label="Delete item"]'),
     ).toHaveCount(0)
 
     // edit it (click the item itself)