Add apples, brown sugar, vanilla extract, cinnamon, and salt in a large saucepan. Cook over medium heat stirring occasionally until the apples are softened and tender, about 15 minutes.
Whisk water and cornstarch together until combined. Add to apple mixture, and continue to cook for about 2 – 4 minutes, until thickened. Allow the filling to fully cool before assembling the pie.
Lightly flour a clean work surface. Grab one piece of dough at a time and roll into a circle that's slightly larger than a 9 inch (23 cm) aluminum metal pie plate and ¼ inch (6mm) - ⅛ inch (3mm) thick. Place the dough inside the pie plate. Use kitchen scissors or a sharp paring knife to trim any excess dough, leaving a ½ inch (1- 2 cm) of overhang. Tuck the end of the pie crust underneath itself and press together to make a uniform crust that's flush with the edge of pie plate. Lightly cover with plastic wrap and rest in the refrigerator.
Remove the second piece of dough and roll into a circle that's slightly larger than your pie dish and ¼ inch (6mm) - ⅛ inch (3mm) thick. Cut 1 inch (3 cm) strips of dough using a wheel pastry cutter or pizza wheel cutter. You'll need at least 8 strips.
Remove the pie plate from the refrigerator and fill with the cooled apple pie filling. Arrange the strips of pie dough into a lattice pattern, placing half of the strips parallel to each other across the pie. Weave the remaining strips horizontally over and under the first set until the pie is covered. Use longer strips in the center and shorter strips toward the edges. Use kitchen scissors or a sharp paring knife to trim any excess dough so the strips are flush with the bottom crust. Press the edges together to seal, then create a fluted edge by gently pushing the dough outward from the inside with your knuckle while pinching it between your thumb and index finger to form a distinct V shape. Refrigerate for 30–45 minutes, until the dough is thoroughly chilled.
Heat oven to 425°F (220°C).
Whisk egg with 1 tablespoon (14 grams) of water to create an egg wash. Brush on the pie crust with a pastry brush, then sprinkle with turbinado sugar.
Place the pie on a parchment lined light colored baking sheet (to catch any drips). Bake on the middle oven rack for 25 - 30 minutes, until the pie crust has become golden brown. Reduce oven heat to 375°F (190°C) and continue to bake for 50 - 55 minutes, until the crust is very golden brown and the filling is bubbly. If you notice the pie is browning too much, place a piece of foil around the crust.
Transfer the pie to a wire cooling rack until it reaches room temperature. Store leftovers covered in the refrigerator for up to 3 days.