Show default window buttons on WPF Window using WindowChrome

I have found that using WindowChrome on a WPF Window can make me put content wherever I want in the Window, which is a great thought. Now I can finally make the title bar have the same color as the rest of my application.

However, I still like the default minimize/maximize/close buttons that appear on a non styled Window.

Is there any way I can style my Window using WindowChrome yet still preserve the default buttons?

<Style x:Key="MainWindow" TargetType="{x:Type Window}">
    <Setter Property="WindowChrome.WindowChrome">
        <Setter.Value>
            <WindowChrome CaptionHeight="30" ResizeBorderThickness="5" />
        </Setter.Value>
    </Setter>
</Style>

<Window Style="{StaticResource MainWindow}">
    <Grid Background="Black">
        <MyContent />
    </Grid>
</Window>

This makes a big black window (great!) but without any min/max/close buttons as they are hidden behind the Grid (not so great). The buttons are still clickable, though, so they're obviously there.