[PowerToys Run] Implemented Setting to Clear Search Query when PowerToys Run is Launched (#4995)

* Implemented Clear Input On Launch

* Move logic to seperate command on viewmodel

* Added Settings Sync
Moved logic from OnDeactivated to OnActivated

* Complete after testing

Co-authored-by: Roy <royvou@hotmailcom>

src/modules/launcher/PowerLauncher/MainWindow.xaml

@@ -20,6 +20,7 @@
         Closing="OnClosing"
         Background="Transparent"
         LocationChanged="OnLocationChanged"
+        Activated="OnActivated"
         Deactivated="OnDeactivated"
         IsVisibleChanged="OnVisibilityChanged"
         Visibility="{Binding MainWindowVisibility, Mode=TwoWay, UpdateSourceTrigger=PropertyChanged}"