Preheat your grill to 450° and prepare your chicken.
Toss the chicken in the oil and all the spices, coating evenly on all sides. Place the chicken on the grill and cook for 10 minutes. After 10 minutes, flip the chicken and cook an additional 5-6 minutes, or until the chicken reaches an internal temperature of 165°. Transfer the grilled chicken to a plate and allow to cool for about 10 minutes. Once cool enough to handle, slice and set aside.
Make the yogurt dill sauce. Combine all the yogurt dill sauce ingredients in a medium bowl and set aside.
Assemble your wraps. Spread the dill sauce evenly over each pita, then top with vegetables, chicken, and more dill sauce. Serve!
Instant Pot Instructions:
Add chicken, oil, a splash of water, and all the spices to your Instant Pot. Close the lid, and set the valve to "sealing" or natural release. Press "manual", and set to cook for 12 minutes.
While the chicken is cooking, make the yogurt dill sauce. Combine all the yogurt dill sauce ingredients in a medium bowl and set aside.
After the 12 minutes is complete, allow the Instant Pot to sit for 5 minutes, then release the pressure carefully. Once the pressure is released, remove the chicken and shred it.
Return the shredded chicken to the Instant Pot, tossing it in the leftover juices and spices.
Assemble your wraps. Spread the dill sauce evenly over each pita, then top with vegetables, chicken, and more dill sauce. Serve!