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__/components/PendingQuestionsCard.test.tsx

@@ -0,0 +1,65 @@
+import { fireEvent, render } from '@/test/test-utils';
+import { PendingQuestionsCard, formatWaitingSince } from '@/components/discovery/PendingQuestionsCard';
+import type { PendingQuestion } from '@/store';
+
+const pendingQuestion = (id: string, partnerAnsweredAt: string): PendingQuestion => ({
+  id: `response-${id}`,
+  partnerAnsweredAt,
+  question: {
+    id,
+    pack_id: 'pack-1',
+    text: `Question ${id}`,
+    intensity: 1,
+    created_at: '2026-08-01T00:00:00.000Z',
+    pack: { id: 'pack-1', name: 'Connection', icon: 'heart' },
+  },
+});
+
+describe('PendingQuestionsCard', () => {
+  it('stays out of Home when there is nothing to answer', () => {
+    const { queryByTestId } = render(
+      <PendingQuestionsCard questions={[]} partnerName="Sam" onPress={jest.fn()} />,
+    );
+
+    expect(queryByTestId('pending-questions-card')).toBeNull();
+  });
+
+  it('names the partner, shows the count, and preserves answer privacy', () => {
+    const questions = [
+      pendingQuestion('q1', '2026-08-29T09:00:00.000Z'),
+      pendingQuestion('q2', '2026-08-29T10:00:00.000Z'),
+    ];
+    const { getByText, getByLabelText } = render(
+      <PendingQuestionsCard questions={questions} partnerName="Sam" onPress={jest.fn()} />,
+    );
+
+    expect(getByText('Sam has answered 2 questions')).toBeTruthy();
+    expect(getByText('Answer yours to see where you match. Their answers stay private until you respond.')).toBeTruthy();
+    expect(getByLabelText('2 questions waiting')).toBeTruthy();
+  });
+
+  it('starts the answer action from its accessible CTA', () => {
+    const onPress = jest.fn();
+    const { getByTestId } = render(
+      <PendingQuestionsCard
+        questions={[pendingQuestion('q1', '2026-08-29T09:00:00.000Z')]}
+        partnerName="Sam"
+        onPress={onPress}
+      />,
+    );
+
+    fireEvent.press(getByTestId('pending-questions-answer'));
+    expect(onPress).toHaveBeenCalledTimes(1);
+  });
+});
+
+describe('formatWaitingSince', () => {
+  const now = new Date('2026-08-29T12:00:00.000Z');
+
+  it('formats useful compact waiting ages', () => {
+    expect(formatWaitingSince('2026-08-29T11:59:30.000Z', now)).toBe('just now');
+    expect(formatWaitingSince('2026-08-29T11:42:00.000Z', now)).toBe('18m ago');
+    expect(formatWaitingSince('2026-08-29T09:00:00.000Z', now)).toBe('3h ago');
+    expect(formatWaitingSince('2026-08-27T12:00:00.000Z', now)).toBe('2d ago');
+  });
+});