How to binding general string indexers?

I have a general language change singleton class

public class LanguageManager : INotifyPropertyChanged
{
private readonly ResourceManager _resourceManager;
private static readonly Lazy Lazy = new(() => new LanguageManager());
public static LanguageManager Instance => Lazy.Value;

private LanguageManager()
{
_resourceManager = new ResourceManager(typeof(Resource));
}

public string this[string name]
{
get
{
if (name == null)
{
throw new ArgumentNullException(nameof(name));
}
return _resourceManager.GetString(name)!;
}
}

public void ChangeLanguage(string languageName)
{
var culture = CultureInfo.GetCultureInfo(languageName);
CultureInfo.CurrentCulture = culture;
CultureInfo.CurrentUICulture = culture;
PropertyChanged?.Invoke(this, new PropertyChangedEventArgs("Item[]"));
}

public event PropertyChangedEventHandler? PropertyChanged;
}

In WPF you can do this:

``

But this cannot be done in WinUI3:
``

1. No x:static
2. Binding needs to contain a public constructor
3. Can not work If I switch to x:bind:

4. Is this question related to mine？[(#3064)]

So, In winui3, How to do?

Start by reproducing the posted WinUI 3 binding and x:Bind examples with the LanguageManager sample, then compare their behavior with the related issue #3064. No repository files or tests are named in the report; done would be a documented supported approach for binding the string indexer, or a clear explanation of the limitation.

Written by the indexing model from the issue text.