How do you set the style for the selected MudButton in the MudButtonGroup?

I am looking for a way to set the style of the selected button in the MudButtonGroup.

I have looked at the classes set for the Buttons and ButtonGroup and have not found anything that differentiates the selected button.

You can do something like this, where you send the button's reference as a parameter when it's clicked and change its properties there.

<MudButtonGroup Color="Color.Primary" Variant="Variant.Outlined" OverrideStyles="false">
    <MudButton @ref="_button1" OnClick="(e)=>HandleClick(e,_button1)">One</MudButton>
    <MudButton @ref="_button2" OnClick="(e)=>HandleClick(e,_button2)">Two</MudButton>
    <MudButton @ref="_button3" OnClick="(e)=>HandleClick(e,_button3)">Three</MudButton>
</MudButtonGroup>
@code{
    MudButton _button1,_button2,_button3;
    List<MudButton> _buttons;
    protected override void OnAfterRender(bool firstRender)
    {
        if(firstRender)
        {
            _buttons = new(){_button1,_button2,_button3};
        }
    }
    void HandleClick(MouseEventArgs e, MudButton clickedButton)
    {
        foreach(var button in _buttons)
        {
            if(button.Equals(clickedButton)){
                button.Color = Color.Secondary;
            }else{
                button.Color = Color.Default;
            }
        }
    }
}

Snippet