On a well-floured counter, roll out your pie dough pretty thin, a little shy of 1/8-inch thick. Cut as many rounds as you can from the dough. Transfer them to parchment-lined baking sheets and keep them in the fridge until you need them.
Prepare your apples: Peel your apples. Cut thin (1/8-inch thick) slices from one side of whole apple, stopping when you hit the core. Repeat on opposite side. Cut discs that will fit inside your pie cookies. Place them in your second bowl, covering them with a few drops of lemon juice if you find that they’re browning quickly.
Preheat oven to 350 degrees.
Assemble the cookies. Grab your first disc of chilled dough and lightly dampen it on one side with the water. This is to help it seal. Take your first disc of apple and toss it in the cinnamon spice sugar. Place it on the damp side of the bottom disk. Place a second disc of dough on top. Dip your fork in the flour and use it to create a decorative crimp on the sealed edges. Brush your cookie with egg wash and sprinkle with coarse sugar. Replace on baking sheet and chill while you prepare the others.
Bake your apple pie cookies for 25 minutes, or until puffed and bronzed