Set DateLastSaved after running metadata savers (#14531)

Emby.Server.Implementations/Library/LibraryManager.cs

@@ -3060,6 +3060,8 @@ namespace Emby.Server.Implementations.Library
                     }
 
                     await RunMetadataSavers(personEntity, itemUpdateType).ConfigureAwait(false);
+                    personEntity.DateLastSaved = DateTime.UtcNow;
+
                     CreateItems([personEntity], null, CancellationToken.None);
                 }
             }

MediaBrowser.Providers/Manager/ProviderManager.cs

@@ -697,6 +697,7 @@ namespace MediaBrowser.Providers.Manager
                     {
                         _libraryMonitor.ReportFileSystemChangeBeginning(path);
                         await saver.SaveAsync(item, CancellationToken.None).ConfigureAwait(false);
+                        item.DateLastSaved = DateTime.UtcNow;
                     }
                     catch (Exception ex)
                     {
@@ -712,6 +713,7 @@ namespace MediaBrowser.Providers.Manager
                     try
                     {
                         await saver.SaveAsync(item, CancellationToken.None).ConfigureAwait(false);
+                        item.DateLastSaved = DateTime.UtcNow;
                     }
                     catch (Exception ex)
                     {