Let's cook.
In a medium bowl, combine the chicken strips, 1 tablespoon of olive oil, lemon juice, oregano, garlic powder, salt, and black pepper. Toss to coat the chicken evenly.
Heat the remaining 1 tablespoon of olive oil in a large skillet over medium-high heat.
Add the marinated chicken to the hot skillet and cook for 5-7 minutes, stirring occasionally, until the chicken is cooked through and lightly browned.
While the chicken cooks, warm the pita bread according to package instructions (e.g., microwave for 15-20 seconds per pita or briefly toast in a dry skillet).
Spread 2 tablespoons of tzatziki sauce evenly over each warm pita bread.
Divide the cooked chicken among the pitas, placing it in the center.
Top the chicken with chopped cucumber and chopped tomato.
Fold or roll the pita bread to create a wrap and serve immediately.
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