refactor: keep mobile work mode update-local

frontend/mobile-task-dock.js

@@ -7,7 +7,6 @@
   const overlays = options.overlays || [];
   let launcher = null;
   let wasHidden = false;
-  let workMode = 'work';
 
   function select(name) {
     Object.entries(buttons).forEach(([key, button]) => {
@@ -42,7 +41,7 @@
       start: ['Start', 'Start Today'],
       work: ['Work', 'Work'],
     };
-    workMode = labels[mode] ? mode : 'work';
+    const workMode = labels[mode] ? mode : 'work';
     if (options.workLabel) options.workLabel.textContent = labels[workMode][0];
     if (buttons.work) {
       buttons.work.setAttribute('aria-label', labels[workMode][1]);