最低ターゲットバージョン: Anniversary Update (1607)
<AppBarButton Label="購読グループを追加" Icon="Add"
AllowFocusOnInteraction="True"
>
<AppBarButton.Flyout>
<Flyout>
<StackPanel>
<TextBox x:Name="SubscriptionGroupNameTextBox"
InputScope="Text"
/>
<Button Content="追加"
Command="{Binding AddSubscription}"
CommandParameter="{Binding ElementName=SubscriptionGroupNameTextBox, Path=Text}"
HorizontalAlignment="Right"
/>
</StackPanel>
</Flyout>
</AppBarButton.Flyout>
</AppBarButton>
参考
FrameworkElement.AllowFocusOnInteraction Property - Microsoft Docs
Can't enter enter text in TextBox control inside Flyout - stack overflow