Overnight Hot Cross Buns

Ingredients

• 1 cup whole milk or 2%
• 1 egg beaten with 2 teaspoons milk
• 1 large egg
• 1 1/2 teaspoons kosher salt
• butter for greasing
• 1/2 cup sugar
• 3 tablespoons unsalted butter
• 1½ cups confectioners’ sugar
• 3 1/2 cups (448 g) or more unbleached all purpose flour, divided
• 2 tablespoons milk
• 2 1/4 teaspoons rapid-rise (instant) yeast