Preheat the oven to 450°F. Place the oven rack in the lower third of the oven. Place a baking sheet on the rack before preheating the oven.
Line the pie pan with one crust. Cover with plastic wrap and chill until the apple filling is ready. Wrap the other crust in plastic wrap and chill.
Place the apple slices, cinnamon, nutmeg, light brown sugar, granulated white sugar, salt and lemon juice into a large mixing bowl. Mix well.
Pour the apple filling into the chilled pie crust lined pan. Dot with the chilled butter.
Gently place the top crust on top. Seal around the edge. If needed, trim the excess. Crimp the edges. Using a sharp knife, make 5-6, 2-inch slits from the center of the pie out towards the edge to allow for steam to be released as the pie bakes. In a small bowl, whisk the egg and water. Brush the top of the pie with the egg wash. Sprinkle with granulated sugar.
Place the pie on the heated baking sheet on the lower third of the oven. Bake for about 10 minutes. Reduce the oven temperature to 350°F. Bake for about 50 more minutes. The pie is done when the top is golden brown and the juices bubble through the steam slits. If it looks like the edges or top of the pie is browning too fast, cover with aluminum foil.
Place the pie on a wire rack to cool. Make the apricot glaze by mixing the apricot jam and water. Brush the glaze over the top of the pie. For optimal results, let the pie cool for at least 4 hours. Serve warm or at room temperature with vanilla ice cream or whipped cream.