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 similar to Greek yogurt.
Be sure to warm the greek yogurt or cottage cheese in the microwave for 30 seconds. Cold ingredients will dramatically slow fermentation.
In the bowl of your stand mixer fitted with the dough hook, combine the bread flour and salt and mix briefly on low to distribute. In a separate bowl whisk together the starter, Greek yogurt or blended cottage cheese, water, olive oil, and sugar 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. Because this is an enriched dough you will not achieve a full translucent windowpane. You are looking for a partial windowpane where the dough stretches without immediately tearing. The dough should be tacky but not sticky. If it 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 and cover. Perform one set of stretch and folds after 30 minutes by grabbing one side of the dough, stretching it up without tearing, and folding it over the center. Rotate 90 degrees and repeat four times around the bowl.
Cover and bulk ferment at room temperature for 6 to 8 hours until the dough is 50 to 75% larger, looks domed, and feels airy when you press it. Do not bulk ferment overnight at room temperature as over fermentation breaks down the gluten and causes tearing when you shape.
Once bulk fermentation is complete, seperate the dough into two equal pieces and shape into a ball. Place in an oil lined pan, spray a little oil on top and cover tightly with a lid or plastic wrap.
You can either let rest for an hour and continue with make the pizza. Or for the long ferment, refrigerate overnight or up to 24 hours. The cold ferment deepens the flavor and transforms the dough from sticky and difficult to smooth, extensible, and easy to shape.
After the rest or the next day (remove the dough from the refrigerator) and being the baking preparations.
Place your pizza stone or steel in the oven and preheat to 475 degrees F for at least 30 minutes. A fully preheated stone is the difference between a pale soft bottom and a properly crispy crust. If you dot have either of those, take a baking tray and turn it upside down and be sure to preheat for at least 10 minutes.
When ready to shape, lay a sheet of parchment paper on your work surface and give it a light spritz of water. This prevents the dough from sticking without adding extra flour. Place the 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 is 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 for another 10 minutes before trying again.
Use a fork to dock the stretched crust all over before par 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 from oven and cool completely before adding toppings and freezing, or add toppings immediately and finish baking.
For a fresh full bake, add sauce, cheese, and toppings to the shaped crust and bake on the preheated stone at 475 degrees F for 12 to 15 minutes until the cheese is deeply golden and the crust rim is dark brown. Watch closely after the 10 minute mark as the dairy in this dough accelerates browning.