Preheat the air fryer to 320°F for 3 minutes.
Brush a 7-inch springform pan with 2 tablespoons melted butter and dust with 1 tablespoon cornmeal.
Optional: knead the remaining cornmeal and a little softened butter into the dough.
Press the dough into the pan, building the sides to 1½ inches. Trim overhang and rest 10 minutes if it resists.
Shingle the mozzarella slices directly onto the dough, covering it completely.
Add optional toppings, then spoon the crushed tomatoes over the top and spread to the edges.
Sprinkle with Parmesan and oregano. Brush the exposed rim with the remaining butter.
Air fry at 320°F for 18 to 22 minutes, until the rim is deep golden and the center bubbles.
Rest 5 minutes, release the pan ring, slice with a serrated knife and serve.