DataTemplate.Triggers vs Style.Triggers

In order to change foreground color of ListBoxItem base on condition, I can do inside DataTemplate.Triggers:

<ListBox.ItemTemplate>
    <DataTemplate>
        ...
        <DataTemplate.Triggers>
            <DataTrigger Binding="{Binding Name}" Value="Item1">
                <Setter Property="ListBoxItem.Foreground" Value="Blue" />
            </DataTrigger>
        </DataTemplate.Triggers>
    </DataTemplate>
</ListBox.ItemTemplate>

Or inside ItemContainerStyle:

<ListBox.ItemContainerStyle>
    <Style TargetType="{x:Type ListBoxItem}">
        <Style.Triggers>
            <DataTrigger Binding="{Binding Name}" Value="Item1">
                <Setter Property="Foreground" Value="Blue" />
            </DataTrigger>
        </Style.Triggers>
    </Style>
</ListBox.ItemContainerStyle>

I wonder what's the difference between DataTemplate.Triggers and Style.Triggers? Which one happen first? Most importantly, what's the semantic meaning of each trigger group?