Привязка данных не работает в ControlTemplate, который вложен в DataTemplate

Question

Я хочу сделать переключатель, который меняет состояние моей кнопки Это первое состояние - по умолчанию

И второе состояние - когда мы нажимаем на него

Это их шаблон

<ControlTemplate x:Key="AddListTemplate">
        <Grid>
            <Button VerticalAlignment="Top"
                HorizontalAlignment="Left"
                Style="{StaticResource MaterialDesignOutlinedButton}"
                ToolTip="MaterialDesignOutlinedButton"
                Foreground="#5e6c84"
                Name="AddListButton_false"
                Command="{Binding ShowAddListButton}"
                Margin="5 0"
                Width="272"
                >
                + Add another list
            </Button>
            <Border x:Name="AddListButton_true" CornerRadius="3" Width="272" MinHeight="78" VerticalAlignment="Top" Background="#ebecf0" Margin="8 0 4 0" Padding="4">
                <StackPanel>
                    <Border CornerRadius="3" BorderThickness="2" Background="White" BorderBrush="#0079bf">
                        <TextBox Width="264" 
                                     materialDesign:HintAssist.Hint="Enter list title..."
                                     BorderThickness="0"
                                     Height="32" FontSize="16" 
                                     Padding="2 0" Background="Transparent"/>
                    </Border>
                    <StackPanel Orientation="Horizontal" Margin="0 4 0 0">
                        <Button Height="32" Background="#5AAC44" BorderBrush="Transparent" 
                                materialDesign:ShadowAssist.ShadowDepth="Depth0">
                            Add List
                        </Button>
                        <Button 
                                Style="{StaticResource MaterialDesignOutlinedButton}"
                                Command="{Binding HideAddListButton}"
                                ToolTip="MaterialDesignOutlinedButton"
                                Foreground="#5e6c84"
                                Height="32"
                                Margin="4 0"
                                >
                            Cancel
                        </Button>
                    </StackPanel>
                </StackPanel>
            </Border>
        </Grid>

        <ControlTemplate.Triggers>
            <DataTrigger Binding="{Binding IsAddListTrigger, UpdateSourceTrigger=PropertyChanged}" Value="false">
                <Setter TargetName="AddListButton_false" Property="Visibility" Value="Visible" />
                <Setter TargetName="AddListButton_true" Property="Visibility" Value="Collapsed" />
            </DataTrigger>
            <DataTrigger Binding="{Binding IsAddListTrigger, UpdateSourceTrigger=PropertyChanged}" Value="true">
                <Setter TargetName="AddListButton_false" Property="Visibility" Value="Collapsed" />
                <Setter TargetName="AddListButton_true" Property="Visibility" Value="Visible" />
            </DataTrigger>
        </ControlTemplate.Triggers>
    </ControlTemplate>

Это работает правильно, но у меня проблемы с другими кнопками, у которых шаблон почти одинаковый, отличается только имя переменных

Их привязка данных не работает, и я не знаю почему. Важные части кода

Шаблоны

<Page.Resources>
    <ControlTemplate x:Key="AddListTemplate">
        <Grid>
            <Button VerticalAlignment="Top"
                HorizontalAlignment="Left"
                Style="{StaticResource MaterialDesignOutlinedButton}"
                ToolTip="MaterialDesignOutlinedButton"
                Foreground="#5e6c84"
                Name="AddListButton_false"
                Command="{Binding ShowAddListButton}"
                Margin="5 0"
                Width="272"
                >
                + Add another list
            </Button>
            <Border x:Name="AddListButton_true" CornerRadius="3" Width="272" MinHeight="78" VerticalAlignment="Top" Background="#ebecf0" Margin="8 0 4 0" Padding="4">
                <StackPanel>
                    <Border CornerRadius="3" BorderThickness="2" Background="White" BorderBrush="#0079bf">
                        <TextBox Width="264" 
                                     materialDesign:HintAssist.Hint="Enter list title..."
                                     BorderThickness="0"
                                     Height="32" FontSize="16" 
                                     Padding="2 0" Background="Transparent"/>
                    </Border>
                    <StackPanel Orientation="Horizontal" Margin="0 4 0 0">
                        <Button Height="32" Background="#5AAC44" BorderBrush="Transparent" 
                                materialDesign:ShadowAssist.ShadowDepth="Depth0">
                            Add List
                        </Button>
                        <Button 
                                Style="{StaticResource MaterialDesignOutlinedButton}"
                                Command="{Binding HideAddListButton}"
                                ToolTip="MaterialDesignOutlinedButton"
                                Foreground="#5e6c84"
                                Height="32"
                                Margin="4 0"
                                >
                            Cancel
                        </Button>
                    </StackPanel>
                </StackPanel>
            </Border>
        </Grid>

        <ControlTemplate.Triggers>
            <DataTrigger Binding="{Binding IsAddListTrigger, UpdateSourceTrigger=PropertyChanged}" Value="false">
                <Setter TargetName="AddListButton_false" Property="Visibility" Value="Visible" />
                <Setter TargetName="AddListButton_true" Property="Visibility" Value="Collapsed" />
            </DataTrigger>
            <DataTrigger Binding="{Binding IsAddListTrigger, UpdateSourceTrigger=PropertyChanged}" Value="true">
                <Setter TargetName="AddListButton_false" Property="Visibility" Value="Collapsed" />
                <Setter TargetName="AddListButton_true" Property="Visibility" Value="Visible" />
            </DataTrigger>
        </ControlTemplate.Triggers>
    </ControlTemplate>

    <ControlTemplate x:Key="AddCardTemplate">
        <Grid>
            <Button
                Style="{StaticResource MaterialDesignOutlinedButton}"
                ToolTip="MaterialDesignOutlinedButton"
                Command="{Binding ShowAddCardButton}"
                Name="AddCardButton_false"
                Foreground="#5e6c84"
                Margin="7.2 5 7.2 5"
                >
                + Add another card
            </Button>
            <Border x:Name="AddCardButton_true" CornerRadius="3" MinHeight="90" VerticalAlignment="Top" Background="#ebecf0" Margin="8 0 4 0" Padding="0 4 4 4">
                <StackPanel>
                    <Border CornerRadius="3" MinHeight="44" Background="White" Padding="8 6 8 2">
                        <Border.Effect>
                            <DropShadowEffect BlurRadius="1.5" Color="LightGray" Direction="-90" RenderingBias="Quality" ShadowDepth="1"/>
                        </Border.Effect>
                        <TextBox Width="264" 
                            materialDesign:HintAssist.Hint="Enter list title..."
                            BorderThickness="0"
                            Height="32" FontSize="16" 
                            Padding="2 0" Background="Transparent"/>
                    </Border>
                    <StackPanel Orientation="Horizontal" Margin="0 4 0 0">
                        <Button Height="32" Background="#5AAC44" BorderBrush="Transparent" 
                                materialDesign:ShadowAssist.ShadowDepth="Depth0">
                            Add List
                        </Button>
                        <Button 
                            Style="{StaticResource MaterialDesignOutlinedButton}"
                            Command="{Binding HideAddCardButton}"
                            ToolTip="MaterialDesignOutlinedButton"
                            Foreground="#5e6c84"
                            Height="32"
                            Margin="4 0"
                            >
                            Cancel
                        </Button>
                    </StackPanel>
                </StackPanel>
            </Border>
        </Grid>

        <ControlTemplate.Triggers>
            <DataTrigger Binding="{Binding IsAddCardTrigger, UpdateSourceTrigger=PropertyChanged}" Value="false">
                <Setter TargetName="AddCardButton_false" Property="Visibility" Value="Visible" />
                <Setter TargetName="AddCardButton_true" Property="Visibility" Value="Collapsed" />
            </DataTrigger>
            <DataTrigger Binding="{Binding IsAddCardTrigger, UpdateSourceTrigger=PropertyChanged}" Value="true">
                <Setter TargetName="AddCardButton_false" Property="Visibility" Value="Collapsed" />
                <Setter TargetName="AddCardButton_true" Property="Visibility" Value="Visible" />
            </DataTrigger>
        </ControlTemplate.Triggers>
    </ControlTemplate>
</Page.Resources>

Переплет

<Grid Grid.Row="1" Margin="0 0 4 0">
        <ScrollViewer HorizontalScrollBarVisibility="Auto" VerticalScrollBarVisibility="Disabled" Margin="0 0 0 5">
            <StackPanel Orientation="Horizontal" VerticalAlignment="Top" HorizontalAlignment="Left">
                <ItemsControl ItemsSource="{Binding CurrentBoard.Lists}">
                    <ItemsControl.ItemsPanel>
                        <ItemsPanelTemplate>
                            <StackPanel Orientation="Horizontal" VerticalAlignment="Top" Margin="0 0 0 20"></StackPanel>
                        </ItemsPanelTemplate>
                    </ItemsControl.ItemsPanel>
                    <ItemsControl.ItemTemplate>
                        <DataTemplate>

                            <Border CornerRadius="3" Width="272" MinHeight="78" VerticalAlignment="Top" Background="#ebecf0" Margin="8 0 4 0">
                                <Grid>
                                    <Grid.RowDefinitions>
                                        <RowDefinition Height="Auto"/>
                                        <RowDefinition Height="*"/>
                                        <RowDefinition Height="auto"/>
                                    </Grid.RowDefinitions>

                                    <Grid Grid.Row="0">
                                        <TextBlock Text="{Binding Title}" Foreground="#172b4d" FontSize="16" 
                                                    FontWeight="DemiBold" TextWrapping="Wrap" Padding="8 10"/>
                                    </Grid>

                                    <Grid Grid.Row="1">
                                        <ScrollViewer HorizontalScrollBarVisibility="Disabled" VerticalScrollBarVisibility="Auto">
                                            <ItemsControl ItemsSource="{Binding Cards}">
                                                <ItemsControl.ItemsPanel>
                                                    <ItemsPanelTemplate>
                                                        <StackPanel Orientation="Vertical" VerticalAlignment="Top" />
                                                    </ItemsPanelTemplate>
                                                </ItemsControl.ItemsPanel>
                                                <ItemsControl.ItemTemplate>
                                                    <DataTemplate>
                                                        <Border CornerRadius="3" MinHeight="44" Background="White" Margin="8 0 8 8" Padding="8 6 8 2">
                                                            <Border.Effect>
                                                                <DropShadowEffect BlurRadius="1.5" Color="LightGray" Direction="-90" RenderingBias="Quality" ShadowDepth="1"/>
                                                            </Border.Effect>
                                                            <Grid>
                                                                <Grid.RowDefinitions>
                                                                    <RowDefinition Height="auto"/>
                                                                </Grid.RowDefinitions>

                                                                <Grid Grid.Row="0">
                                                                    <TextBlock Text="{Binding Title}" Foreground="#172b4d" FontSize="14" Margin="0 0 0 4"/>
                                                                </Grid>
                                                            </Grid>
                                                        </Border>
                                                    </DataTemplate>
                                                </ItemsControl.ItemTemplate>
                                            </ItemsControl>
                                        </ScrollViewer>
                                    </Grid>

                                    <Grid Grid.Row="2">
                                        <ContentControl Content="{Binding}" Template="{DynamicResource AddCardTemplate}"/>
                                    </Grid>
                                </Grid>
                            </Border>
                        </DataTemplate>
                    </ItemsControl.ItemTemplate>
                </ItemsControl>
                <ContentControl Template="{StaticResource AddListTemplate}"/>
            </StackPanel>
        </ScrollViewer>
    </Grid>