For Cake: 2 1/4 cups cake flour (9 ounces) 1 cup whole milk, at room temperature 6 large egg whites (3/4 cup), at room temperature 2 teaspoons almond extract 1 teaspoon vanilla extract 1 3/4 cups granulated sugar (12 1/4 ounces) 4 teaspoons baking powder 1 teaspoon table salt 12 tablespoons unsalted butter (1 1/2 sticks), softened but still cool Red, orange, yellow, green, blue, and purple gel food coloring For Frosting/Filling: 2 1/2 cups granulated sugar 10 large egg whites 2 pounds (8 sticks) unsalted butter, cut into tablespoons, softened 2 teaspoons pure vanilla extract 1 pound best-quality white chocolate, melted and cooled Preheat oven to 350 degrees. Prepare your cake pans by first liberally buttering the pans, then line the bottoms with parchment paper rounds. Butter the rounds and set aside. Pour milk, egg whites, and extracts into 2-cup glass measure, and mix with fork until blended. Divide batter evenly between six medium bowls. Let cakes rest in pans for 3 minutes.
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