Bread Machine Pumpkin Brioche Cinnamon Twist Loaf

Ingredients

• ½ cup unsalted butter (1 stick) (cold but pliable)
• ⅓ cup milk
• 2 tablespoons all-purpose unbleached flour
• ¼ cup pumpkin puree
• 2 large eggs (cold)
• 2 tablespoons granulated sugar
• ¾ teaspoon table or sea salt
• 2 cups all-purpose unbleached flour
• 1¾ teaspoons instant yeast
• 1 tablespoon water, heavy cream, or milk
• ⅓ cup powdered sugar
• 1½ teaspoons pumpkin pie spice
• 1 tablespoon heavy cream or milk
• 1 tablespoon coarse sparkling sugar