[Refactor]Use same improved BringToForeground across the solution (#28532)

* Use single BringToForeground across the solution

* Close flyout manually

* Try with sending input, if it fails try threads

src/settings-ui/Settings.UI/SettingsXAML/Flyout/LaunchPage.xaml.cs

@@ -33,6 +33,10 @@ namespace Microsoft.PowerToys.Settings.UI.Flyout
         {
             FlyoutMenuButton selectedModuleBtn = sender as FlyoutMenuButton;
             bool moduleRun = true;
+
+            // Closing manually the flyout to workaround focus gain problems
+            App.GetFlyoutWindow()?.Hide();
+
             switch ((string)selectedModuleBtn.Tag)
             {
                 case "ColorPicker": // Launch ColorPicker