Setting TextTrimming (CharacterEllipsis) in DataGrid's Cell

I would like to apply TextTrimming property (CharacterEllipsis) to the text in WPF DataGrid cells.

I applied custom DataGridCell template as in this answer (code below) and it works well, except for the Hyperlink columns like the first one in the picture), which now are empty.

<Style TargetType="DataGridCell">
    <Setter Property="Template">
        <Setter.Value>
            <ControlTemplate TargetType="{x:Type DataGridCell}">
                <Border Padding="3" BorderBrush="{TemplateBinding BorderBrush}" BorderThickness="{TemplateBinding BorderThickness}" Background="{TemplateBinding Background}" SnapsToDevicePixels="True">
                    <ContentPresenter SnapsToDevicePixels="{TemplateBinding SnapsToDevicePixels}">
                        <ContentPresenter.ContentTemplate>
                            <DataTemplate>
                                <TextBlock TextTrimming="CharacterEllipsis" Text="{Binding Text}"/>
                            </DataTemplate>
                        </ContentPresenter.ContentTemplate>
                    </ContentPresenter>
                </Border>
            </ControlTemplate>
        </Setter.Value>
    </Setter>
</Style>

I can see the difference in both column types in visual tree:

but don't understand how I can use this information to apply TextTrimming to TextBlock's columns of both type. Thanks for your time ;)