Snickerdoodle Cupcakes

Ingredients

• 1 1/2 cups all-purpose flour
• 1 1/2 cups cake flour, sifted
• 1 1/4 cups milk
• 1 tablespoon baking powder
• 1/2 teaspoon salt
• 1 tablespoon ground cinnamon, plus 1/2 teaspoon for dusting
• 1 cup unsalted butter, room temperature
• 1 3/4 cups sugar, plus 2 tablespoons for dusting
• 4 large eggs, room temperature
• 2 teaspoons pure vanilla extract
• 20 tablespoons unsalted butter, softened
• 2 1/2 cups confectioners' sugar (10 ounces)
• 1/8 tablespoon table salt
• 2 teaspoons vanilla extract
• 2 tablespoons heavy cream
• 2 tablespoons cinnamon (or to taste)