Jumbo Apple Oatmeal Cookies
¾ cup butter, softened 1 cup packed brown sugar 1 teaspoon apple pie spice ½ teaspoon baking soda ¼ teaspoon salt ¼ cup unsweetened applesauce 1 egg 1 teaspoon vanilla 1 cup all-purpose flour 1 ½ cup regular or quick-cooking rolled oats 1 ½ cup cored, peeled and diced apple (such as McIntosh or Gala) 1 cup powdered sugar (optional) 2 tablespoon milk (optional)