What is a good way to AutoHide the TitleBar of ToolWindow?

Hello,

We inherited ToolWindow and added features to automatically hide TitleBar.

public class CustomToolWindow : ToolWindow
{
    public bool UseAutoHideTitleBar
    {
        get { return (bool)GetValue(UseAutoHideTitleBarProperty); }
        set { SetValue(UseAutoHideTitleBarProperty, value); }
    }

    public static readonly DependencyProperty UseAutoHideTitleBarProperty =
        DependencyProperty.Register(nameof(UseAutoHideTitleBar), typeof(bool), typeof(CustomToolWindow), new PropertyMetadata(false));

    public CustomToolWindow(DockSite dockSite, string serializationId, string title, ImageSource imageSource, object content)
        : base(dockSite, serializationId, title, imageSource, content)
    {
    }

    protected override void OnVisualParentChanged(DependencyObject oldParent)
    {
        base.OnVisualParentChanged(oldParent);

        if (this.UseAutoHideTitleBar && this.Parent is ToolWindowContainer toolWindowContainer)
        {
            toolWindowContainer.MouseEnter -= OnMouseEnter;
            toolWindowContainer.MouseEnter += OnMouseEnter;

            toolWindowContainer.MouseLeave -= OnMouseLeave;
            toolWindowContainer.MouseLeave += OnMouseLeave;

            void OnMouseEnter(object sender, MouseEventArgs e)
            {
                if (sender is ToolWindowContainer toolWindowContainer)
                {
                    var selectedToolWindow = toolWindowContainer.SelectedToolWindow;
                    selectedToolWindow.HasTitleBar = true;
                }
            }

            void OnMouseLeave(object sender, MouseEventArgs e)
            {
                if (sender is ToolWindowContainer toolWindowContainer)
                {
                    var window = toolWindowContainer.SelectedToolWindow;

                    if (window != default)
                    {
                        window.HasTitleBar = false;
                    }
                }
            }
        }
    }
}

Link

It works similarly to what we expected, but there's a little bit of a problematic.

It blinks when I float the ToolWindows and over the mouse.

Please refer to the video on the link.

Please let me know if there is a good way for you.

Thank you.