Coconut Layer Cake

INGREDIENTS

• 3/4 cup (1 1/2 sticks) unsalted butter, room temperature, plus more for pans
• 2 1/2 cups all-purpose flour (spooned and leveled), plus more for pans
• 1 tablespoon baking powder
• 1 teaspoon salt
• 1 1/2 cups sugar
• 2 large eggs, plus 3 large egg yolks (reserve whites for frosting)
• 1 teaspoon vanilla extract
• 1 cup whole milk
• Seven-Minute Frosting
• 1/4 cup lemon curd
• 1 1/4 cups sweetened shredded coconut