fix(mobile): show cached note counts instantly on app restart

Fixes #39

Load note counts from AsyncStorage immediately on mount to prevent showing "0" for several seconds while API loads. The app now displays last known counts   instantly, then updates with fresh data from the API in the background.

Flow:
- On mount: Load cached counts from AsyncStorage (instant display)
- In background: Fetch fresh counts from API
- On success: Update display and save to AsyncStorage for next launch

Author: typelets

apps/mobile/v1/src/screens/Home/index.tsx

@@ -132,6 +132,27 @@ export default function HomeScreen() {
   const isFirstMountRef = useRef(true);
   const hasDataRef = useRef(false);
 
+  // Load cached counts from AsyncStorage on mount
+  useEffect(() => {
+    const loadCachedCounts = async () => {
+      try {
+        const cached = await AsyncStorage.getItem('cached_note_counts');
+        if (cached) {
+          const cachedCounts = JSON.parse(cached);
+          setCounts(cachedCounts);
+          if (__DEV__) {
+            console.log('[HomeScreen] Loaded cached counts:', cachedCounts);
+          }
+        }
+      } catch (error) {
+        if (__DEV__) {
+          console.error('[HomeScreen] Failed to load cached counts:', error);
+        }
+      }
+    };
+    loadCachedCounts();
+  }, []);
+
   // Load folders data
   const loadFoldersData = useCallback(async (isRefresh = false, forceRefresh = false) => {
     try {
@@ -177,6 +198,18 @@ export default function HomeScreen() {
 
       setCounts(newCounts);
 
+      // Cache counts in AsyncStorage for instant display on next app start
+      try {
+        await AsyncStorage.setItem('cached_note_counts', JSON.stringify(newCounts));
+        if (__DEV__) {
+          console.log('[HomeScreen] Cached note counts saved');
+        }
+      } catch (error) {
+        if (__DEV__) {
+          console.error('[HomeScreen] Failed to cache counts:', error);
+        }
+      }
+
       // Mark that we have data now (prevents loading state on refocus)
       hasDataRef.current = true;
     } catch (error) {