If using cottage cheese, blend 200 grams with 15 grams of milk until completely smooth before measuring. If using Greek yogurt, measure straight from the container. Both should have a thick smooth consistency.
Warm the yogurt or cottage cheese in the microwave for 30 seconds.
In the bowl of your stand mixer fitted with the dough hook, combine the bread flour, instant yeast, salt, and sugar and mix briefly on low to distribute. In a separate bowl whisk together the Greek yogurt or blended cottage cheese, warm water, and olive oil until smooth. Pour the wet ingredients into the flour.
Mix on low speed until a shaggy dough forms, about 2 minutes, then increase to medium speed and knead for 6 to 8 minutes until the dough is smooth, pulls away cleanly from the sides of the bowl, and passes a partial windowpane test. The dough should be tacky but not sticky. If it severely sticks to the bowl after 3 minutes add flour one tablespoon at a time. If it looks too stiff add water one tablespoon at a time.
Transfer the dough to a lightly oiled bowl, cover, and bulk ferment at room temperature for 1 to 1.5 hours until visibly puffy and increased in size. You do not need it to double, just to look noticeably puffed and airy. Check at the 1 hour mark as instant yeast moves quickly.
Place your pizza stone, steel, or upside down heavy baking sheet on the top rack and preheat your oven to 475 degrees F for at least 30 minutes. If using the upside down baking sheet shoot for about 10 minutes. A fully preheated surface is the most important factor in getting a crispy bottom crust at home.
Divide the dough into 2 equal pieces. Shape each into a ball, cover, and rest for 20 to 30 minutes before shaping. The rest period lets the gluten relax so the dough stretches cooperatively.
Lay a sheet of parchment paper on your work surface and give it a light spritz of water. This keeps the dough from sticking without adding extra flour. Place one dough ball in the center and press from the middle outward with your fingertips, working around the dough in a circle and stretching evenly as you go. Once the dough gets larger switch to pushing outward around the edges with your fingertips to build the crust rim. Work to a 10 to 12 inch round. If the dough springs back cover and rest another 10 minutes before trying again.
Use a fork to dock the crust all over before baking. This prevents large air bubbles from forming and gives you a flat even surface for toppings.
For a par bake, slide the docked crust on parchment onto the preheated stone and bake at 475 degrees F for 6 to 8 minutes until just set and lightly golden with no raw patches. Remove, cool completely, wrap tightly, and freeze for up to 3 months. To finish from frozen, add toppings and bake at 475 degrees F for 10 to 12 minutes.
To bake right away, slide the docked crust on parchment onto the preheated stone and bake at 475 degrees F for 6 to 8 minutes until just set and lightly golden with no raw patches. Remove, add sauce, cheese, and toppings directly to the shaped crust and bake again on the preheated stone at 475 degrees F for an additional 12 to 15 minutes until the cheese is deeply golden and the crust rim is dark brown. Watch closely after 10 minutes as the dairy in this dough accelerates browning.