Please add logs and check if process trigging.
Also add the current.update(); for [ testing only ], If its working means we need to update work_order record differently because current [ object ] belong to wm_task not the wm_order.
Use the below code in the BR and share the result.
var grWmOrder = New GlideRecord("wm_order");
grWmOrder.addQuery("sys_id",current.wm_order); // wm_order is reference field on wm_task
grWmOrder.query();
if(grWmOrder.next()){
grWmOrder.work_notes = current.work_notes; // update the work note from task to order
grWmOrder.update();
}
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