Route Super+I through the shell's input reader so unfocused choices stick

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

shell/Commons/InputMethodState.qml

@@ -8,7 +8,9 @@ Singleton {
   property var state: ({})
 
   function cycle() {
-    if (watcher.running) watcher.write("cycle\n")
+    if (!watcher.running) return false
+    watcher.write("cycle\n")
+    return true
   }
 
   // One reader and pending selection for every monitor's keyboard widget.

shell/shell.qml

@@ -1779,6 +1779,12 @@ ShellRoot {
       return "ok"
     }
 
+    // Super+I goes through the bar's reader, which keeps a choice made before
+    // any text field has focus until one does.
+    function cycleInput(): string {
+      return Commons.InputMethodState.cycle() ? "ok" : "not running"
+    }
+
     function rescanPlugins(): void {
       shell.reloadPlugins()
     }