Broken ContentDialog style with AOT and .NET 9

[ubuntuegor]

Describe the bug

Correct style is not applied to ContentDialog when publishing an app with AOT and .NET 9.

Steps to reproduce the bug

1. Create a blank WinUI 3 app in Visual Studio.
2. Set TargetFramework to net9.0-windows10.0.19041.0 in .csproj
3. Add <PublishAot>true</PublishAot> to .csproj
4. Create a dialog:

await new ContentDialog
{
    XamlRoot = this.Content.XamlRoot,
    Style = Application.Current.Resources["DefaultContentDialogStyle"] as Style,
    Title = "Hello",
    CloseButtonText = "Close",
}.ShowAsync();

5. Publish the app in Release mode using Create App Packages in Visual Studio.

Expected behavior

Properly styled dialog:

Screenshots

NuGet package version

WinUI 3 - Windows App SDK 1.6.3: 1.6.241114003

Windows version

Windows 11 (24H2): Build 26100

Additional context

No response