Lemon Layer Cake with Chocolate Fudge Frosting

INGREDIENTS

• For Cake:
• 3 cups cake flour
• 2 1/2 cups granulated sugar
• 1 tablespoon baking powder
• 1 teaspoon salt
• 1 1/2 cups (3 sticks) unsalted butter, softened and cut into cubes
• 1 cup whole milk, divided
• 5 large eggs
• 4 teaspoons lemon or Meyer lemon zest (from 4 medium lemons)
• 3 tablespoons lemon or Meyer lemon juice (from 4 medium lemons)
• 1 teaspoon vanilla extract
• For Frosting:
• 1 1/2 cups (3 sticks) unsalted butter, room temperature
• 1 cup cocoa powder
• 4 1/2 cups powdered sugar
• 1/2 to 3/4 cup heavy cream, more or less as needed
• 1 1/2 teaspoons vanilla extract