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1
Preheat the oven to 425u00b0F.
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2
Stack the pitas and, using a sharp or serrated knife, slice them in half through the middle, then slice the halves into 1/2-inch-thick strips crosswise. In a large bowl, whisk together 1/4 cup olive oil and the za'atar and add salt and black pepper to taste. Add the pita strips and toss to coat. Arrange them on a rimmed baking sheet and set aside.
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3
Place the tomatoes, onion wedges, garlic, and jalapeno on a large rimmed baking sheet, toss with the remaining 2 tablespoons olive oil, and season generously with salt and black pepper. Roast until the garlic cloves are softened and golden but not burned and some of the tomatoes have burst, 15 to 20 minutes. During the last 6 to 7 minutes of roasting the tomatoes, add the baking sheet with the pita strips to the oven and toast, stirring once midway. Remove both from the oven and cool slightly.
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4
Place the cooled tomato mixture in a blender and add the lemon juice. Blend until smooth and season with salt and black pepper to taste. Place the sauce in a 10-inch skillet and warm over medium heat until bubbling, 2 to 3 minutes. Drop in the pita strips and shake the skillet. Warm the mixture for 3 to 4 minutes.
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5
While the mixture is warming, cook the eggs sunny-side-up in a separate pan. Add the eggs to the skillet with the tomato sauce and pita and top with the feta and dabs of labaneh. Garnish with the cilantro and jalapeno rounds.
