feat module 1,2,4 : sort child menu items by latest product updated

src/config/menuCollections.js

         menuCollections[productType][menuGroup].set(key, {
           ...collection,
           menuGroup,
+          latestProductUpdatedAt: product?.updatedAt || product?.createdAt || null,
         });
+      } else {
+        const existingCollection = menuCollections[productType][menuGroup].get(key);
+        const existingUpdatedAt = existingCollection?.latestProductUpdatedAt
+          ? Date.parse(existingCollection.latestProductUpdatedAt)
+          : 0;
+        const productUpdatedAt = product?.updatedAt || product?.createdAt || null;
+        const productUpdatedAtTime = productUpdatedAt ? Date.parse(productUpdatedAt) : 0;
+
+        if (productUpdatedAtTime > existingUpdatedAt) {
+          menuCollections[productType][menuGroup].set(key, {
+            ...existingCollection,
+            latestProductUpdatedAt: productUpdatedAt,
+          });
+        }
       }
     });
 
   collection,
 });
 
-// Utility function to sort collections by their updatedAt timestamp, with a fallback to title comparison
+// Utility function to sort collections by their latest product update timestamp, with collection updatedAt and title fallbacks
 const sortCollectionsByNewest = (collections = []) => (
   [...collections].sort((a, b) => {
-    const aUpdatedAt = a?.updatedAt ? Date.parse(a.updatedAt) : 0;
-    const bUpdatedAt = b?.updatedAt ? Date.parse(b.updatedAt) : 0;
+    const aUpdatedAt = a?.latestProductUpdatedAt
+      ? Date.parse(a.latestProductUpdatedAt)
+      : a?.updatedAt
+        ? Date.parse(a.updatedAt)
+        : 0;
+    const bUpdatedAt = b?.latestProductUpdatedAt
+      ? Date.parse(b.latestProductUpdatedAt)
+      : b?.updatedAt
+        ? Date.parse(b.updatedAt)
+        : 0;
 
     if (aUpdatedAt !== bUpdatedAt) {
       return bUpdatedAt - aUpdatedAt;

src/services/ProductService.js

           handle
           title
           createdAt 
+          updatedAt
           productType
           tags
           priceRange {

src/utils/helpers.js

         handle: product?.handle || "",
         title: product?.title || "",
         createdAt: publishedDate || product?.createdAt,
+        updatedAt: product?.updatedAt || product?.createdAt,
         collections: product?.collections?.nodes || null,
         descriptionHtml: product?.descriptionHtml || "",
         tags:product?.tags || null,