[Settings]Fix MWB infobars to hide when the module is disabled (#33562)

## Summary of the Pull Request

This PR fixes two bugs for the info bars on the MWB settings page:
- The bars are shown if module is disabled.
- Some bars can be closed.
- Some bars are reacting to tab stop on closed state.

src/settings-ui/Settings.UI/ViewModels/MouseWithoutBordersViewModel.cs

@@ -92,6 +92,7 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
                     Settings.Properties.UseService = value;
                     OnPropertyChanged(nameof(UseService));
                     OnPropertyChanged(nameof(CanUninstallService));
+                    OnPropertyChanged(nameof(ShowInfobarRunAsAdminText));
 
                     // Must block here until the process exits
                     Task.Run(async () =>
@@ -566,6 +567,8 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
                     _isEnabled = value;
                     GeneralSettingsConfig.Enabled.MouseWithoutBorders = value;
                     OnPropertyChanged(nameof(IsEnabled));
+                    OnPropertyChanged(nameof(ShowInfobarRunAsAdminText));
+                    OnPropertyChanged(nameof(ShowInfobarCannotDragDropAsAdmin));
 
                     Task.Run(async () =>
                     {
@@ -1045,6 +1048,14 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
         public void NotifyPropertyChanged([CallerMemberName] string propertyName = null)
         {
             OnPropertyChanged(propertyName);
+
+            // Skip saving settings for UI properties
+            if (propertyName == nameof(ShowInfobarCannotDragDropAsAdmin) ||
+                propertyName == nameof(ShowInfobarRunAsAdminText))
+            {
+                return;
+            }
+
             SettingsUtils.SaveSettings(Settings.ToJsonString(), MouseWithoutBordersSettings.ModuleName);
 
             if (propertyName == nameof(UseService))
@@ -1071,5 +1082,15 @@ namespace Microsoft.PowerToys.Settings.UI.ViewModels
         {
             SendCustomAction("uninstall_service");
         }
+
+        public bool ShowInfobarCannotDragDropAsAdmin
+        {
+            get { return IsElevated && IsEnabled; }
+        }
+
+        public bool ShowInfobarRunAsAdminText
+        {
+            get { return !CanToggleUseService && IsEnabled; }
+        }
     }
 }