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/lib/analytics.ts

@@ -216,6 +216,10 @@ export const Events = {
   questionSkipped: () => logEvent("question_skipped"),
   matchCreated: (matchType: string) => logEvent("match_created", { match_type: matchType }),
   allQuestionsExhausted: () => logEvent("all_questions_exhausted"),
+  pendingQuestionsPromptViewed: (count: number) =>
+    logEvent("pending_questions_prompt_viewed", { question_count: count }),
+  pendingQuestionsPromptTapped: (count: number) =>
+    logEvent("pending_questions_prompt_tapped", { question_count: count }),
 
   // Chat events
   matchViewed: () => logEvent("match_viewed"),

apps/mobile/src/lib/notifications.ts

@@ -23,7 +23,7 @@ Notifications.setNotificationHandler({
 
 // Types
 export interface NotificationData {
-  type: "match" | "message" | "match_digest" | "partner_activity" | "nudge" | "weekly_summary";
+  type: "match" | "message" | "match_digest" | "partner_activity" | "nudge" | "weekly_summary" | "catchup_reminder";
   match_id?: string;
   message_id?: string;
   count?: number;
@@ -36,6 +36,7 @@ const notificationTypes = new Set<NotificationData["type"]>([
   "partner_activity",
   "nudge",
   "weekly_summary",
+  "catchup_reminder",
 ]);
 
 function isNotificationData(value: unknown): value is NotificationData {
@@ -254,12 +255,18 @@ export function handleNotificationResponse(
     return;
   }
 
-  if (data.type === "partner_activity") {
+  if (data.type === "partner_activity") {
     // Navigate to Matches > Your Turn tab (questions to answer)
     useMatchStore.getState().setCurrentView('pending');
     router.push("/(app)/matches");
     return;
-  }
+  }
+
+  if (data.type === "catchup_reminder") {
+    useMatchStore.getState().setCurrentView('pending');
+    router.push("/(app)/swipe?mode=pending");
+    return;
+  }
 
   if (!data.match_id) {
     return;