Brown Butter Almond Cake with Chocolate Filling

Name: Brown Butter Almond Cake with Chocolate Filling
Ingredients: 1 stick unsalted butter, plus more for the pan; 1 1/4 cups all-purpose flour, plus more for the pan; 1/2 cup fine almond flour; 1 teaspoon baking powder; 3/4 teaspoon salt; 2 large eggs; 1 cup granulated sugar; 1 teaspoon pure vanilla extract; 3/4 cup buttermilk, well shaken; 3 ounces semisweet chocolate, finely chopped; 2 ounces almond paste, finely diced (about 1/3 cup); 1/2 cup sliced almonds; Confectioners’ sugar, for dusting