In a bowl mix yeast, sugar, oil, and water. Add flour and salt and mix until combined.
Do 1 stretch and fold immediately, cover and rest 30 minutes, then do another stretch and fold. Cover and let rise about 2 hours.
Lightly flour your surface and gently place the dough down without deflating it. Shape it into a ball, flour well underneath, cover with a bowl, and rest 15 minutes.
Transfer the dough onto floured parchment and press from the center outward, keeping the edges thick and the middle thin. Add tomato sauce, mozzarella, cheddar, and parmesan.
Transfer the parchment onto cardboard and slide it onto a preheated oven tray (preheat oven at maximum temperature with the tray inside for 35 minutes). Bake 9 minutes only — no more than 9 minutes, otherwise the dough will become hard.
