Marinate the chicken: Mix all spices in a small bowl. In a large bowl, toss chicken strips with 2 tablespoons olive oil, minced garlic, lemon juice, salt, pepper, and spice mix. Let sit 10-30 minutes.
Make the garlic sauce: Whisk together mayonnaise, minced garlic, lemon juice, water, salt, and white pepper until smooth. Refrigerate until serving.
Heat the skillet: Place large skillet over medium-high heat. Add remaining tablespoon of olive oil and let it shimmer.
Cook the chicken: Add chicken in a single layer (work in batches if needed). Cook undisturbed for 3-4 minutes until bottom is caramelized.
Finish cooking: Flip chicken and cook another 3-4 minutes until internal temperature reaches 165°F. Let rest 2 minutes.
Serve: Serve chicken in pita bread or over rice with vegetables. Drizzle generously with garlic sauce.