Lemon Blackberry Cheesecake Crepe Cake

Name: Lemon Blackberry Cheesecake Crepe Cake
Ingredients: 4 large egg yolks; 1/4 cup granulated sugar; 1 tbsp lemon zest; 1/2 cup freshly squeezed lemon juice; 1 tbsp cornstarch; 2 tbsp heavy cream; 6 tbsp butter; 1 8oz cream cheese, softened; 1 cup powdered sugar; 1 tsp vanilla extract; 1 cup heavy whipping cream, cold; 1 cup fresh or frozen blackberries; 2 tbsp granulated sugar; 1 tbsp water; 3 large eggs; 2 1/4 cups whole milk; 1 1/2 cups all-purpose flour; 3 tbsp unsalted butter, melted; 1 1/2 tsp vanilla extract