Cranberry Hot Cross Buns - The BakerMama

Ingredients

• 1 (1/4 ounce) envelope active dry yeast (2 and 1/4 teaspoons)
• 1/4 cup warm water
• 1 large egg, beaten
• 1/2 cup (1 stick) unsalted butter, melted
• 1/4 cup whole milk
• 2 and 1/4 cups all-purpose flour
• 1/3 cup plus 1 teaspoon granulated sugar, divided
• 2 teaspoons ground cinnamon
• 1/2 teaspoon ground nutmeg
• 3/4 cup dried cranberries
• 1 large egg plus 1 teaspoon water, for egg wash
• 2 tablespoons sugar plus 1 teaspoon cinnamon, for cinnamon sugar
• 1 cup powdered sugar
• 1/4 teaspoon ground cinnamon
• 2 tablespoons whole milk