more refactors and logs page handling

mobile-v2/lib/domain/models/render_list.model.dart

@@ -4,8 +4,9 @@ import 'package:immich_mobile/domain/models/render_list_element.model.dart';
 class RenderList {
   final List<RenderListElement> elements;
   late final int totalCount;
+  final DateTime modifiedTime;
 
-  RenderList({required this.elements}) {
+  RenderList({required this.elements, required this.modifiedTime}) {
     final lastAssetElement =
         elements.whereType<RenderListAssetElement>().lastOrNull;
     if (lastAssetElement == null) {
@@ -16,6 +17,21 @@ class RenderList {
   }
 
   factory RenderList.empty() {
-    return RenderList(elements: []);
+    return RenderList(elements: [], modifiedTime: DateTime.now());
   }
+
+  @override
+  String toString() =>
+      'RenderList(totalCount: $totalCount, modifiedTime: $modifiedTime)';
+
+  @override
+  bool operator ==(covariant RenderList other) {
+    if (identical(this, other)) return true;
+
+    return other.totalCount == totalCount &&
+        other.modifiedTime.isAtSameMomentAs(modifiedTime);
+  }
+
+  @override
+  int get hashCode => totalCount.hashCode ^ modifiedTime.hashCode;
 }