"Traditional Lebanese bread. Crispy, flaky cracker like bread infused with fresh za'atar (similar to oregano). You can substitute oregano for za'atar, but use less. May place under broiler to brown tops."
Mix water, yeast, salt, and sugar together in a large bowl. Add all-purpose flour, whole wheat flour, olive oil, and corn oil; mix using your hands, adding more whole wheat flour if needed, until dough holds together. Mix za'atar into dough until evenly incorporated (see notes).
Shape dough, about 1/4 cup per piece, into rounds on a floured work surface. Arrange rounds on baking sheets.
Bake in the preheated oven until lightly browned, about 25 minutes.