How to Make It
Prepare the Apple Filling: Place apples and fresh lemon juice in a large bowl; toss well to coat. Stir together granulated sugar, flour, ground cinnamon, freshly grated nutmeg, ground allspice, and kosher salt in a bowl; add to apple mixture, and toss well to combine.
Prepare the Crust: Preheat oven to 425°F. Unwrap 1 chilled pie dough disk from Double-Crust Pie Pastry, and place on a lightly floured surface. Let stand at room temperature until slightly softened, about 5 minutes. Sprinkle dough with flour, and roll into a 12-inch circle. Carefully fit dough circle into a 9-inch deep-dish glass pie plate, leaving a 1-inch overhang. Spoon filling into prepared crust, packing lightly to fill crust. Smooth out filling until even. (Do not mound in center.) Sprinkle diced butter over apples.
Unwrap remaining chilled pie dough disk, and place on a lightly floured surface. Let stand at room temperature until slightly softened, about 5 minutes. Sprinkle dough with flour, and roll into a 12-inch circle. Cut dough round into 10 (3/4-inch-wide) strips. Arrange strips in a lattice design over filling; trim strips to be even with the bottom crust's 1-inch overhang. Fold dough edges under, and crimp. Place pie on a rimmed baking sheet.
Prepare the Egg Wash: Stir together large egg and water in a small bowl. Using a pastry brush, brush egg mixture evenly over piecrust. Sprinkle granulated sugar over piecrust, if desired.
Bake in preheated oven 15 minutes. Reduce oven temperature to 350°F. Loosely cover pie with aluminum foil. Bake at 350°F until crust is golden brown, apples are tender, and juices are bubbly, 1 hour to 1 hour and 10 minutes, removing foil for the last 10 minutes of baking to finish browning crust. Transfer pie to a wire rack, and cool completely, about 3 hours. Serve pie with Caramel Sauce and, if desired, ice cream.