Mix the wet base:In a large bowl, add sugar or honey and warm water. Stir to dissolve.Sprinkle instant yeast evenly over the top of the water. Let it sit for 2–3 minutes until slightly foamy.
Add dry ingredients and oil:Add flour, salt, and 3 tablespoons olive oil to the bowl.Mix with a spoon until a dough forms — it will be slightly sticky at first.
Knead the dough:Sprinkle about 2 tablespoons of flour on a clean surface.Transfer the dough and knead with the palm of your hand for 3–5 minutes, until smooth and elastic.
Rest the dough (optional):Cover and let the dough rest for 5–10 minutes to make it easier to roll out.
Shape into flatbreads:Divide the dough into 8 small balls, about 2 inches wide each.Using a rolling pin, roll each ball into a circle or oval — as thin or thick as you like.
Cook the flatbreads:Heat a cast iron or nonstick skillet over high heat until very hot, then lower to medium or medium-low heat.Place one rolled-out flatbread onto the skillet. Cook for 30 seconds to 1 minute, until you see bubbles and light golden-brown spots underneath.
Flip and add toppings (optional): Flip the flatbread. On the cooked side, spread za’atar paste, cheese, or a mix of both.For za’atar bread, brush on the paste evenly.For cheese, sprinkle it right after flipping so it melts as the second side cooks.You can also add pasta sauce + cheese to make a mini pizza pocket. Serve warm: Enjoy the flatbreads plain, or fold them in half to make a warm sandwich. Serve with labneh, yogurt, or fresh veggies.