Pie crust – 1 1/2 cups all-purpose flour – 1 teaspoon granulated sugar – 1/2 teaspoon fine sea salt – 1 stick unsalted butter very cold or frozen – 1/4 cup ice-cold water plus more if needed – 1 large egg beaten Vanilla pudding – 2 cups whole milk – 5 large egg yolk – 6 tablespoons granulated sugar – 1/4 cup all-purpose flour – 1/4 cup cornstarch – 1 1/2 teaspoons vanilla bean paste or vanilla extract – 1 tablespoon dark rum optional Applesauce filling – 2 pounds apples peeled, cored and finely chopped – 2 tablespoons granulated sugar – 1 teaspoon ground cinnamon – 2 tablespoons whipping cream – 1 tablespoon cornstarch Whipped cream – 1 1/2 cups whipping cream cold – 1 tablespoon powdered sugar – 1/4 teaspoon ground cinnamon