Let's cook.
In a medium bowl, toss the chicken strips with 1 tablespoon of olive oil, dried oregano, garlic powder, salt, and black pepper until evenly coated.
Heat a large skillet or grill pan over medium-high heat. Add the seasoned chicken and cook for 5-7 minutes, flipping occasionally, until cooked through and lightly browned.
Remove the chicken from the skillet and set aside. Add the sliced halloumi cheese to the same skillet and cook for 2-3 minutes per side, until golden brown and slightly softened.
Warm the pita bread according to package instructions, either in the microwave for 15-20 seconds or in a dry skillet for 30 seconds per side.
To assemble the wraps, spread 2 tablespoons of tzatziki sauce onto each warm pita.
Divide the cooked chicken, grilled halloumi, chopped cucumber, and chopped red onion evenly among the pitas.
Fold or roll the pitas to create wraps and serve immediately.
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