How to dynamically adjust window size according to the screen scaling in WinUI 3?

I have problem with a WelcomeScreen developed in WinUI 3. In resolution (1920 * 1080), Scale (125%), the controls on the window are displayed correctly, but they are invisible when in resolution (1920 * 1080), Scale (150%). Is there any way I can get the needed size of the window after scaling and adjust the windows size dynamically? Thanks.

// this window size works with scaling 125% but not work with 150%
this.AppWindow.MoveAndResize(new Windows.Graphics.RectInt32(0, 0, 1200, 665));

WelcomeScreen.xaml:

<?xml version="1.0" encoding="utf-8"?>
<Window
    x:Name="WelcomeScreenWindow"
    x:Class="Views.WelcomeScreen.WelcomeScreen"
    xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
    xmlns:local="using:Views.WelcomeScreen"
    xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
    xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
    mc:Ignorable="d"
    Title="">

    <Grid ColumnDefinitions="*,*,*" RowDefinitions="*" >
        <StackPanel Grid.Column="0" Grid.ColumnSpan="3" Orientation="Vertical"  >
            <local:WelcomeScreenPage1 x:Name="WelcomeScreenPage1"/>
            <local:WelcomeScreenPage2 x:Name="WelcomeScreenPage2"/>
            <local:WelcomeScreenPage3 x:Name="WelcomeScreenPage3"/>
            <Line Stroke="LightGray" X1="0" Y1="0" X2="1200" Y2="0" StrokeThickness="2" Margin="12,0,12,0"/>
            <RelativePanel>
                <CheckBox x:Name="DoNotShowAaginCheckBox" x:Uid="DoNotShowThisAgain" FontFamily="{StaticResource VeneerFont}" IsChecked="{x:Bind WelcomeScreenPageViewModel.IsDisplayAgain, Mode=TwoWay, UpdateSourceTrigger=PropertyChanged}" Margin="12,12,0,0"  VerticalContentAlignment="Center" />
                <Button x:Name="BackButton" Width="100" Style="{StaticResource AccentButtonStyle}" FontFamily="{StaticResource VeneerFont}" Command="{x:Bind WelcomeScreenPageViewModel.BackCommand}" RelativePanel.LeftOf="PipsPager" Content="{x:Bind WelcomeScreenPageViewModel.BackButtonText, Mode=OneWay}" Margin="12,12,12,0"/>
                <PipsPager x:Name="PipsPager" Margin="0,15,0,0" NumberOfPages="3" SelectedPageIndex="{x:Bind WelcomeScreenPageViewModel.CurrentPageIndex, Mode=TwoWay, UpdateSourceTrigger=PropertyChanged}" RelativePanel.AlignHorizontalCenterWithPanel="True" />
                <Button x:Name="NextButton" Width="100" Style="{StaticResource AccentButtonStyle}" FontFamily="{StaticResource VeneerFont}" Command="{x:Bind WelcomeScreenPageViewModel.NextCommand}" Content="{x:Bind WelcomeScreenPageViewModel.NextButtonText,Mode=OneWay}" RelativePanel.RightOf="PipsPager" Margin="12,12,12,0"/>
            </RelativePanel>
        </StackPanel>
    </Grid>
</Window>

WelcomeScreen.xaml.cs:

using Microsoft.UI.Windowing;
using Microsoft.UI;
using Microsoft.UI.Xaml;
using ViewModels.WelcomeScreen;

using System.ComponentModel;

// To learn more about WinUI, the WinUI project structure,
// and more about our project templates, see: http://aka.ms/winui-project-info.

namespace Views.WelcomeScreen
{
    /// <summary>
    /// An empty window that can be used on its own or navigated to within a Frame.
    /// </summary>
    public sealed partial class WelcomeScreen : Window
    {
        public WelcomeScreenPageViewModel WelcomeScreenPageViewModel { get; }

        public void GetAppWindowAndPresenter()
        {
            var hWnd = WinRT.Interop.WindowNative.GetWindowHandle(this);
            WindowId myWndId = Win32Interop.GetWindowIdFromWindow(hWnd);
            _apw = AppWindow.GetFromWindowId(myWndId);
            _presenter = _apw.Presenter as OverlappedPresenter;
        }

        private AppWindow _apw;
        private OverlappedPresenter _presenter;

        private void InitializeControls()
        {
            GetAppWindowAndPresenter();
            _presenter.IsResizable = false;
            _presenter.IsMaximizable = false;
            _presenter.IsMinimizable = false;
            _apw.TitleBar.IconShowOptions = IconShowOptions.HideIconAndSystemMenu;
            _apw.SetIcon("Assets/Apple.ico");
        }

        public WelcomeScreen(WelcomeScreenPageViewModel welcomeScreenPageViewModel)
        {
            this.InitializeComponent();
            this.InitializeControls();

            // this window size works with scaling 125% but not work with 150%
            this.AppWindow.MoveAndResize(new Windows.Graphics.RectInt32(0, 0, 1200, 665));

            WelcomeScreenPageViewModel = welcomeScreenPageViewModel;
         
            UpdateNavigationFrame(0);

            WelcomeScreenPageViewModel.PropertyChanged += ProcessPropertyChanged;

            WelcomeScreenPageViewModel.ClosingRequest += (sender, e) => this.Close();
        }

        private void ProcessPropertyChanged(object sender, PropertyChangedEventArgs e)
        {
            if (e.PropertyName == (nameof(WelcomeScreenPageViewModel.CurrentPageIndex)))
                UpdateNavigationFrame(WelcomeScreenPageViewModel.CurrentPageIndex);
        }

        private void UpdateNavigationFrame(int index)
        {
            WelcomeScreenPage1.Visibility = Visibility.Collapsed;
            WelcomeScreenPage2.Visibility = Visibility.Collapsed;
            WelcomeScreenPage3.Visibility = Visibility.Collapsed;

            if (index == 0)
                WelcomeScreenPage1.Visibility = Visibility.Visible;

            if (index == 1)
                WelcomeScreenPage2.Visibility = Visibility.Visible;

            if (index == 2)
                WelcomeScreenPage3.Visibility = Visibility.Visible;
        }
    }
}

In resolution (1920*1080), Scale (125%):

In resolution (1920*1080), Scale (150%):

Scaling settings:

Solution

You can get notified when the DPI changes. Instead of implementing all by yourself, I recommend using the WinUIEx NuGet package.

Install the WinUIEx NuGet package.

Replace Window with WindowEx:

using WinUIEx;

namespace WinUIDemoApp;

public sealed partial class MainWindow : WindowEx
 {
    public MainWindow()
    {
        InitializeComponent();
    }
}

<winex:WindowEx
    xmlns:winex="using:WinUIEx"
    x:Class="WinUIDemoApp.MainWindow"
    xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
    xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
    xmlns:local="using:WinUIDemoApp"
    xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
    mc:Ignorable="d">
    ...
</winex:WindowEx>

Then in App.xaml.cs, listen to WM_DPICHANGED:

private WindowEx? Window { get; set; }

protected override void OnLaunched(LaunchActivatedEventArgs args)
{
    Window = new MainWindow();
    var windowManager = WindowManager.Get(Window);
    windowManager.WindowMessageReceived += WindowManager_WindowMessageReceived;
    Window.Activate();
}

private void WindowManager_WindowMessageReceived(object? sender, WinUIEx.Messaging.WindowMessageEventArgs e)
{
    if (e.Message.MessageId != 0x02E0)  // WM_DPICHANGED
    {
        return;
    }

    var dpi = Window.GetDpiForWindow();
    System.Diagnostics.Debug.WriteLine($"DPI: {dpi}");
    // Resize your window here...
}