In a large bowl, gently stir the first 7 ingredients (apple pieces through nutmeg) together until thoroughly combined and the apple pieces are covered. Set aside.
Preheat the oven to 400 degrees. Cover a large baking sheet with foil.
Roll out 1 chilled pie dough disk by lightly dusting a clean surface with flour, turning the dough about a quarter after every 2-3 rolls. Roll into a 12-inch circle.
Carefully place the dough in a 9-inch pie dish. Spoon in the pie filling.
Roll out the second chilled pie dough disk into a 12-inch circle. Lay over the top of the of the pie. Fold the edges under, pinching the top and bottom dough together. Trim the excess dough with a knife. Crimp the pie crust edges to seal. Using a paring knife, cut small slits on the top of the pie dough.
Lightly brush the top of the pie crust with milk. Sprinkle the top with sugar.
Place the pie on the baking sheet and bake for 25 minutes. After 25 minutes, lower the oven temperature to 375 degrees, leaving the pie in the oven. Place a piece of foil over the top of the pie to prevent the crust from burning (or use a pie crust shield). Continue baking for 35-40 minutes until the filling is bubbling.
Remove the pie from the oven and allow it to cool for at least 3 hours before serving.
Store the leftover pie in the refrigerator for up to 5 days.