Avoiding re-calls to instantiation methods on notification？

[tp1415926535]

Classes that inherit from the notification class are always instantiated every time publish is triggered, and even DI injection can't avoid that. Examples:
I need to execute some events inside the form after triggering publish, so I inherited INotificationHandler in the window. Like:

     public partial class Window1 : Window, INotificationHandler<TriggerNotify>
    {
        public Window1()
        {
            InitializeComponent();
        }

        public Task Handle(TriggerNotify notification, CancellationToken cancellationToken)
        {
            Debug.WriteLine("Do something...");
            return Task.CompletedTask;
        }
    }

     mediator.Publish(new TriggerNotify());

• On the one hand, this causes the uninitialized window to initialize, and execute automatically, and then hide in the background, this behavior is very weird for form applications.
• On the other hand, windows that have already been instantiated will still go through the instantiation method once when the notification is executed.

It looks like I should inject all classes, and then have a class that doesn't need an initialization event inherit the notification and then have it call the other methods?