[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/Wox.Infrastructure/UserSettings/Settings.cs

@@ -129,6 +129,8 @@ namespace Wox.Infrastructure.UserSettings
         }
         public bool LeaveCmdOpen { get; set; }
         public bool HideWhenDeactivated { get; set; } = true;
+        public bool ClearInputOnLaunch { get; set; } = false;
+
         public bool RememberLastLaunchLocation { get; set; }
         public bool IgnoreHotkeysOnFullscreen { get; set; }