New York–Style Cheese Pizza

Name: New York–Style Cheese Pizza
Ingredients: 1 1/2 teaspoons active dry yeast; 1 1/2 cups warm water (about 110˚); 2 cups bread flour; 1 3/4 cups all-purpose flour, plus more for kneading; 2 teaspoons sugar; 2 teaspoons kosher salt; 2 tablespoons extra-virgin olive oil, plus more for the bowl; 1 15-ounce can crushed tomatoes; 1 small clove garlic, grated; 1 teaspoon extra-virgin olive oil; 1/4 teaspoon dried oregano; Pinch of sugar, plus more if needed; Kosher salt and freshly ground pepper; All-purpose flour or cornmeal, for dusting; 2 tablespoons grated Parmesan cheese; 2 ounces fresh mozzarella cheese, torn; 1 heaping cup freshly grated low-moisture mozzarella cheese