After some thought, I remembered Egg Beaters! Ding! A way to divide the 1 egg required in the recipe. In this case a serving of Egg Beaters is 3 tbsp so I divided the recipe by 3 starting with 1 tbsp of Egg Beaters. Everything else was simple. I weighed and divided the mix, the butter and used 1 tsp instead of the 1 tbsp of water.
Why don't I just freeze the extra dough? Because then I wouldn't even make the cookies, I'd eat the dough.