fix: Bug - Add logout in mobile version of settings, allow clearing data on android

Expose settings logout on mobile where the title bar is hidden, and enable
Capacitor data settings with storage visibility and local erase/sign-out.

Co-authored-by: Cursor <cursoragent@cursor.com>

e2e/tests/mobile/mobile-settings-logout.spec.ts

@@ -0,0 +1,25 @@
+import { expect, test } from '../../fixtures/multi-client';
+import { expectDashboardReady } from '../../helpers/dashboard';
+import { MOBILE_VIEWPORT, openSettingsModal } from '../../helpers/settings-modal';
+import { RegisterPage } from '../../pages/register.page';
+
+test.describe('Mobile settings logout', () => {
+  test('exposes logout in the settings menu on mobile viewports', async ({ createClient }) => {
+    const { page } = await createClient();
+    const suffix = `mobile_logout_${Date.now()}`;
+
+    await page.setViewportSize(MOBILE_VIEWPORT);
+
+    const register = new RegisterPage(page);
+
+    await register.goto();
+    await register.register(`user_${suffix}`, 'Mobile Logout User', 'TestPass123!');
+    await expectDashboardReady(page);
+
+    await openSettingsModal(page);
+    await page.getByTestId('settings-logout-button').click();
+
+    await expect(page).toHaveURL(/\/login/, { timeout: 15_000 });
+    await expect(page.locator('#login-username')).toBeVisible({ timeout: 10_000 });
+  });
+});