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Combine the sauce ingredients and stir until smooth.
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Grill chicken in vegetable oil and cut into thin slices.
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Preheat skillet over medium heat.
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One at a time, lay tortilla into hot skillet and sprinkle with 1/4 cup of each shredded cheese and 1/2 cheese slice on one side of the tortilla.
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Arrange about 1/4 cup chicken slices over tortilla on the same half covered with cheese.
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On the empty side, spread about one tablespoon of sauce. Fold over, and press gently with spatula.
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Cook until the cheese is melted and then slice each into 4 pieces.