Dulce de Leche Crepe Cake

Name: Dulce de Leche Crepe Cake
Ingredients: 1 1/4 cups whole milk; 4 large eggs; 1 1/4 cups all-purpose flour; 1/4 cup unsweetened cocoa powder (Dutch-process or natural); 1/4 cup granulated sugar; 3/4 teaspoon vanilla extract; 1/8 teaspoon kosher salt; Unsalted butter, melted, for brushing; 2 sticks unsalted butter, softened; 2 3/4 cups plus 1 tablespoon confectioners' sugar; 1 cup dulce de leche (jarred or canned), plus more for drizzling; 1 cup heavy cream