For the Cake
5 tablespoons unsalted butter, at room temperature
2 1/2 cups all-purpose flour
1 1/2 teaspoons baking powder
1/2 teaspoon baking soda
1 teaspoon salt
3/4 teaspoon ground nutmeg
1/4 cup vegetable oil
1/2 cup sugar
1/4 cup packed light brown sugar
2 large eggs, at room temperature
1 cup milk, at room temperature
1 teaspoon pure vanilla extract

For the Cinnamon Sugar Coating
1/4 cup sugar
2 teaspoons ground cinnamon
1/8 teaspoon ground nutmeg
1/8 teaspoon salt
5 tablespoons unsalted butter, melted

For the Coffee Glaze
2 tablespoons milk
2 tablespoons instant espresso powder
1 cup confectioners’ sugar
1/2 teaspoon pure vanilla extract
1/8 teaspoon salt