Line the air fryer basket with parchment paper. Set aside. In a medium bowl, stir together flour, cornstarch, cream of tartar, and salt. Set aside for now. In a large bowl, beat together butter and granulated sugar on high until light and fluffy (about 2 minutes). Beat in egg and vanilla extract until fully combined (about 30 seconds).
Beat dry ingredients into wet ingredients on low just until combined. Do not overmix. Cover the bowl with food-safe plastic wrap and place it in the fridge for 30 minutes before rolling it out.
Stir together the topping ingredients (granulated sugar and ground cinnamon) in a bowl then set aside. To keep these cookies thick and chewy, they should be rolled out to 3/8” thickness. This is the rolling pin I use to ensure even thickness for all cookies. Lightly dust the table or silicone baking mat with flour before rolling out the dough. Just a very light dusting of flour - you don’t want too much flour added to the cookie dough.
Place about 1/3 of the dough on the table and start to roll the dough out. Lightly dust the rolling pin with flour if the dough is sticking to the rolling pin.
Using a crinkle cutter (this is what I use) cut the cookie fries about ½” to ¾” in width to between 4” and 5” long. You’ll want to vary the length a bit between 4” and 5” long so they aren’t all the exact same length As you gently lift each cookie fry off the table or baking mat, place the cookie fry in the topping mixture and lightly press each side into the topping mixture. It may be easier to have the topping mixture on a flat plate rather than in a bowl so that the fry doesn’t get squished or bent when you’re trying to coat it. Place the raw cookie dough fries about 1.5” apart on the parchment-lined baking sheets. The cookies shouldn’t spread much during baking but leave a little bit of space between fries for some growth.
Place the trays of cookie fries into the freezer for 20 minutes. Add the cookie dough to a parchment-lined air fryer basket, being careful to leave space around the cookies, and making sure they are not touching. Air Fry at 320 degrees F, for 4 to 8 minutes. The cookies should be firm enough to hold their shape if you were to flip one over but not baked enough that the bottom has started to brown. Don’t overbake the cookies or they’ll turn out crunchy instead of chewy.
Cook the cookies in batches, until the dough is used.