Coconut Cake

INGREDIENTS

• 4 ounces sweetened shredded coconut
• 1/4 teaspoon pure almond extract
• 1 cup milk
• 1/2 pound (2 sticks) unsalted butter, at room temperature
• 5 extra-large eggs, at room temperature
• 2 cups sugar
• 1/2 teaspoon kosher salt
• 1 pound cream cheese, at room temperature
• 6 ounces sweetened shredded coconut
• 1 pound confectioners' sugar, sifted
• 3/4 teaspoon pure vanilla extract
• 1 1/2 teaspoons pure vanilla extract
• 3/4 pound (3 sticks) unsalted butter, at room temperature, plus more for greasing the pans
• 1 1/2 teaspoons pure almond extract
• 1/2 teaspoon baking soda
• 3 cups all-purpose flour, plus more for dusting the pans
• 1 teaspoon baking powder