To make pie crust: Prepare Flaky Pie Crust per recipe dividing into 2 even discs. Chill for at least 1 hour or overnight. To make filling: On the stovetop melt together butter, sugar and water in a heavy bottomed saucepan over medium heat. Stir cooking for 3-5 minutes until sugar is completely dissolved. Remove from heat add 1 tsp vanilla. Mix well. Set aside to cool slightly.
In a medium size mixing bowl, toss apple slices with lemon juice. To the apples add flour, apple pie spice and cinnamon tossing together evenly. To the apples add butter-sugar mixture, mixing until evenly coated. Set aside.
To assemble: Unwrap 1 pie crust disc. On a lightly floured surface, roll to roughly 12 inches in diameter. Lightly spray a 9 inch deep dish pie pan with cooking spray. Fit crust into pan pressing onto bottom and sides, leaving 1 1/2 inch overhang.
Pour apple mixture evenly into bottom crust, leaving center higher.
Roll out remaining crust on same lightly floured surface into roughly an 11 inch round. Use a pizza wheel to cut into 10-12 (½-3/4 inch) strips. Lay strips on top according to length leaving even spacing between each strip. Weave alternating strips into a lattice pattern.
Trim excess dough around edge evenly. Fold remaining crust under and tuck. Crimp the edge using the finger pinch method.
Brush all over with beaten egg wash. Sprinkle with sugar in the raw.
To bake: Preheat oven to 425°F. Bake for 15 minutes, then lower the oven temperature to 350°F. Continue to bake for 45 minutes or until filling is bubbly and crust is golden. (Check at 30 minutes and lay foil on top to prevent over browning)
Let cool completely for 4-6 hours before slicing and serving.
Store baked apple pie chilled or at room temperature in an airtight container for up to 3 days.