In a bowl combine the flour, butter, and salt. Manually mix until you still have a few chunks. Little by little add in the water to moisten, and continue kneading the dough manually until it's all perfectly combined.
Place your dough on your counter and divide into two even balls. Be sure to add some flour to your counter beforehand so it doesn't stick.
Roll the dough out to about 1/4" or a bit thinner. Transfer it onto a silicone or any tray and place in the refrigerator for 30 minutes. Repeat for the other ball of dough.
Make the Apple Pie Filling
In a large bowl combine the apples with the sugar, nutmeg, cinnamon, cornstarch, flour, apple juice, and lime juice.
In a large skillet, melt the butter over medium-high heat. Once melted, add in the apple mixture and cook for about 8 - 10 minutes until the apples have softened. Once they are ready, remove from the heat and set aside.
Form the Cookies
Once the dough is ready, cut one of the dough trays into 11-12 circles using a 3-inch cutter. Transfer to baking sheets lined with parchment paper, spacing each about two inches apart.
With your other tray, cut the dough into thin lattice tops, about .2 inches thick and 4 inches long for each lattice. You will need 6 per pie.
Once you have your circles and lattice, preheat your oven to 375 F. Begin your pies by spreading a bit of caramel onto the center of each of the circles. You'll cover about the size of a quarter in the middle.
Add 1 1/2 Tablespoons of the apple mixture on top of the caramel. Try to keep it in the center.
Arrange the lattice tops over each dough circle; three from top to bottom and three going across. Press the edges a little bit so they stick to the bottom dough.
Place an egg into a bowl and beat. Brush the lattice tops with egg wash.
Mix the sugar and cinnamon, then sprinkle on top of each of the pies.
Place in the oven and bake for 25 - 30 minutes, or until your dough looks golden brown. Remove from oven and serve warm.