11.1.0 - Two-way binding doesn't update source property if target property has not been changed

[pavelovcharov]

Describe the bug

A two-way binding to a property whose value will not change (for example, binding to the TabControl.SelectedIndex property) no longer updates the value of the source property

To Reproduce

Create a test as shown in the following code snippet

public class UnitTest1
{
    [Fact]
    public void Test1()
    {
        ViewModel vm = new ViewModel();

        var tabControl = new TabControl();
        var tabItem = new TabItem();
        tabControl.Items.Add(tabItem);
        tabControl.Bind(TabControl.SelectedIndexProperty,
            new Binding(nameof(ViewModel.SelectedIndex), BindingMode.TwoWay) { Source = vm });

        Assert.Equal(0, tabControl.SelectedIndex);
        Assert.Equal(0, vm.SelectedIndex);
    }
}

public class ViewModel : AvaloniaObject
{
    public static readonly StyledProperty<int> SelectedIndexProperty =
        AvaloniaProperty.Register<ViewModel, int>(nameof(SelectedIndex), -1);

    public int SelectedIndex
    {
        get => GetValue(SelectedIndexProperty);
        set => SetValue(SelectedIndexProperty, value);
    }
}

The vm.SelectedIndex property will have value -1

Expected behavior

The source property should be update in this case

Avalonia version

11.1.0

OS

No response

Additional context

No response