window events are invalid and cannot be closed or clicked

### Description

The non-modal window is closed as the owner. Other window events are invalid and cannot be closed or clicked.

### Reproduction Steps

```
public partial class MainWindow : Window
{
public MainWindow()
{
InitializeComponent();
}

Window1 window = null;
private void Button_Click(object sender, RoutedEventArgs e)
{
window = new Window1();
window.Show();
}

private void Button_Click_1(object sender, RoutedEventArgs e)
{
Window1 window2 = new Window1();
window2.Owner = window;

Task.Run(() => {
Thread.Sleep(3000);
System.Windows.Application.Current.Dispatcher.BeginInvoke((System.Action)(() =>
{
window.Close(); //Causes other window events to invalid
}));
});

window2.ShowDialog();
}
}
```

### Expected behavior

Works properly

### Actual behavior

Causes other window events to invalid

### Regression?

This problem exists testing with .Net 5 or .Net 9

### Known Workarounds

_No response_

### Impact

_No response_

### Configuration

_No response_

### Other information

_No response_