feat(mobile): surface pending questions

Add a conditional Home cue for partner-answered questions and route both the card and catch-up reminders into the pending answer flow. Track prompt engagement and cover hidden, visible, CTA, and notification behavior.

apps/mobile/src/__tests__/lib/notifications.test.ts

@@ -0,0 +1,47 @@
+import { router } from 'expo-router';
+import { handleNotificationResponse } from '@/lib/notifications';
+import { useMatchStore } from '@/store/matchStore';
+
+jest.mock('expo-router', () => ({
+  router: { push: jest.fn() },
+}));
+
+jest.mock('expo-notifications', () => ({
+  setNotificationHandler: jest.fn(),
+  addNotificationResponseReceivedListener: jest.fn(),
+  getLastNotificationResponseAsync: jest.fn(),
+  getPermissionsAsync: jest.fn(),
+  requestPermissionsAsync: jest.fn(),
+  getExpoPushTokenAsync: jest.fn(),
+}));
+
+jest.mock('@/lib/crashlytics', () => ({
+  captureError: jest.fn(),
+}));
+
+const notificationResponse = (type: string) => ({
+  notification: {
+    request: {
+      content: { data: { type } },
+    },
+  },
+}) as never;
+
+describe('handleNotificationResponse', () => {
+  beforeEach(() => {
+    useMatchStore.setState({ currentView: 'active' });
+  });
+
+  it('opens the answer queue for a catch-up reminder', () => {
+    handleNotificationResponse(notificationResponse('catchup_reminder'));
+
+    expect(useMatchStore.getState().currentView).toBe('pending');
+    expect(router.push).toHaveBeenCalledWith('/(app)/swipe?mode=pending');
+  });
+
+  it('ignores unknown notification types', () => {
+    handleNotificationResponse(notificationResponse('unknown'));
+
+    expect(router.push).not.toHaveBeenCalled();
+  });
+});