In a large bowl, mix together the 2 1/2 cups of all-purpose flour, 2 tablespoons of white granulated sugar, and 1 1/2 teaspoons of kosher salt. This forms the base of your crust and ensures the flavors are evenly distributed.
Using a box grater, grate the cold butter into the flour mixture. This allows for small bits of butter to be evenly distributed, which will create a flaky crust.
Transfer the bowl to the freezer for 10 minutes to chill. It’s important that the mixture stays cold so that the butter remains solid while baking.
After 10 minutes, take the mixture out and use your hands to break the butter bits into the flour until they resemble the size of small peas. You want a crumbly texture that still has some larger pieces of butter.
Slowly add in half of the recommended water and mix until combined. You want the mixture to start coming together, but it will still look shaggy at this point.
From here, add one tablespoon of water at a time until the dough forms a cohesive mass. Too much water will make the crust tough, so add it gradually.
Flour your counter and dump the dough onto it. Knead it a few times until it holds together well. Aim for a smooth texture but don’t overwork it.
Divide the dough into two discs and wrap each in plastic wrap. Transfer them to the refrigerator to chill for at least one hour, ideally overnight for best results.
While the dough chills, peel your apples if you prefer. Halve them, remove the cores, and slice them thinly into 1/4-inch pieces. This ensures even cooking and a nice texture.
In a large bowl, squeeze the lemon juice over the sliced apples, ensuring to catch any seeds. This will enhance the flavor and keep the apples from browning.
Add the 1/4 cup of all-purpose flour, 1/2 cup of light brown sugar, 1 1/2 teaspoons of ground cinnamon, 1 teaspoon of vanilla extract, and 1/2 teaspoon of kosher salt to the apples. Toss gently until the apples are thoroughly coated.
Next, add 2 tablespoons of crème fraîche to the apples and toss until evenly distributed. This will add a rich creaminess.
Remove the first disc of dough from the refrigerator and let it come to room temperature for about 5 minutes. Flour your work surface and rolling pin generously.
Roll out the first disc to a 13-inch round. Wrap it around your rolling pin and unroll it over a 9-inch pie dish. Gently fit the dough into the bottom and up the sides of the dish.
Trim the excess dough, leaving about a 1/2-inch overhang. Recombine the scraps for the lattice design later. Chill the pie shell while you roll out the second disc.
Repeat the rolling process with the second disc and cut it into 3-inch strips for the lattice top. Reroll the scraps as needed.
Fill the pie shell with the apple filling, ensuring it’s evenly distributed.
Lay out five strips of dough on top of the filling, leaving about 1/2-inch spaces between them. Then lay the remaining strips perpendicular, which will help you see how to weave them.
Carefully fold back every other strip of dough and layer the opposite strips on top, weaving them under and over each other. This lattice will create a beautiful pattern.
Once assembled, trim the edges of the strips, leaving about a 1-inch overhang. Tuck the edges under for a clean finish. Create a crimped edge for a decorative touch.
Chill the pie in the freezer for 30 minutes. Meanwhile, preheat your oven to 400 degrees F.
Brush the entire pie with the beaten egg for an egg wash and sprinkle with turbinado sugar for a crunchy topping.
Transfer the pie to a baking sheet and bake for 20 to 25 minutes until the edges are lightly browned. Then reduce the temperature to 350 degrees F and bake for another 40 to 45 minutes, until it’s deeply golden brown.
Keep an eye on it – if the crust gets too dark, cover it with foil.
Let the pie cool for at least two hours to firm up before slicing. Serve with a scoop of ice cream or a dollop of whipped cream to take it over the top!