Let the dough rise at room temperature for 2 hours.
During the first rise, complete four rounds of stretch and folds:
Perform the first stretch and fold after 30 minutes.
Repeat every 30 minutes until you’ve completed four total rounds.
To stretch and fold, grab one edge of the dough, stretch it upward, and fold it toward the center. Rotate the bowl and repeat until you’ve folded all four sides.
During the last stretch and fold, add about 1/4 of the shredded cheese on top of the dough. Perform the first stretch and fold, pulling the dough up and over the cheese. Rotate the bowl, add another 1/4 of the cheese, then stretch the dough up and over again. Repeat 4 times total, using all the cheese.