Preheat the oven to 500°F (260°C). Adjust an oven rack to the lowest position and place a rimmed baking sheet on the rack.
On a lightly floured surface, roll 1 portion of dough into a 12-inch (30-cm) circle. Fold the dough into quarters, then place the dough's pointy tip in the center of a 9-inch (23-cm) regular or deep dish glass pie plate. Gently unfold the dough and press it into the sides of the pan, leaving the portion that hangs over the edge of pie plate intact. Refrigerate while preparing the apple pie filling.
In a bowl, combine the apples, 3/4 cup sugar, flour, lemon juice, lemon zest, salt, and spices.
Spread the apple pie filling in the pie plate, mounding them slightly in the middle.
Roll out the remaining portion pie crust to a 12-inch (30-cm) circle. Loosely roll the top crust around the rolling pin, then gently unroll it over the apples. Trim all but 1/2 inch (12 mm) dough overhanging the edge of the pie plate. Seal the edge by pressing the top and bottom crusts together with your fingertips, then tuck the edges underneath. Crimp the edges and make 4 or so small slits in the top crust. Brush the crust with the egg white and sprinkle with the remaining 1 tablespoon sugar.
Place the pie on the heated baking sheet and lower the oven temperature to 425°F (220°C). Bake the pie until the top crust is golden, about 25 minutes.
Rotate the baking sheet, reduce the oven temperature again to 375°F (190°C), and continue to bake until the juices are bubbling and the crust is deep golden brown, 30 to 35 minutes more.
Transfer the pie to a wire rack and cool to room temperature before slicing and serving. The pie can be stored at room temperature, wrapped tightly in aluminum foil, for up to 2 days.