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Make the Dough: Whisk together the flour, cornmeal, salt, sugar, and yeast in a large bowl.
Add water and melted butter and mix on low speed, using a dough hook, until fully combined, 1 to 2 minutes, scraping sides and bottom of bowl occasionally.
Make the Sauce: While dough rises, heat the butter in a medium saucepan over medium heat until melted. Add onion, oregano, and salt; cook, stirring occasionally until liquid has evaporated and onion is golden brown, about 5 minutes.
Add garlic and cook until fragrant, about 30 seconds.
Laminate the Dough: Turn the dough out onto dry work surface and roll into a 15×12-inch rectangle. Using an offset spatula, spread the softened butter over the surface of the dough, leaving a ½-inch border along the edges. Starting at the short end, roll the dough into a tight cylinder. With seam side down, flatten the cylinder into an 18×4-inch rectangle.
Cut the rectangle in half crosswise. Working with one half, fold into thirds like a business letter; pinch seams together to form a ball. Repeat with the remaining half. Return balls to the oiled bowl, cover tightly with plastic wrap and let rise in refrigerator until nearly doubled in volume, 40 to 50 minutes. Meanwhile, adjust oven rack to lower position and preheat oven to 425 degrees F.
Transfer 1 dough ball to dry work surface and roll out into a 13-inch circle. Transfer dough to the pan by rolling the dough loosely around a rolling pin and unrolling into the pan. Lightly press dough into the pan, working into corners and 1-inch upsides. If dough resists stretching, let it relax for 5 minutes before trying again. Repeat with remaining dough ball.
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