Apple Fritter Cake with Brown Butter Icing

Ingredients

• 2 tablespoons (28g) butter
• 3 cups (340g) peeled, chopped apples ((1/2-inch pieces ))
• 2 tablespoons (25g) granulated sugar
• 1/2 teaspoon cinnamon
• 1 cup (128g) all purpose flour, sifted
• 1/4 teaspoon baking soda
• 1/4 teaspoon fine sea salt
• 1/8 teaspoon nutmeg, preferably freshly ground
• 1/4 cup (57g) unsalted butter, softened
• 3/4 cup (150g) granulated sugar
• 2 tablespoons (25g) packed brown sugar
• 1 large egg, room temperature
• 1 teaspoon pure vanila extract
• 2 tablespoons (28g) sour cream, room temperature
• 3 tablespoons (43g) unsalted butter, cubed
• 1 cup (120g) powdered sugar, sifted
• 1 1/2 tablespoons (22ml) reserved juices from the apples
• 1-3 tablespoons (15 ml-45ml) whole milk, room temperature
• 1 pinch fine sea salt