Whisk yogurt, olive oil, lemon juice, garlic, and all spices. Coat chicken thighs; marinate 2–24 hours refrigerated.
Whisk garlic sauce ingredients; refrigerate.
Bring chicken to room temperature 20–30 minutes before cooking; shake off excess marinade.
Sear in a very hot grill pan or skillet, 5–7 minutes per side, until charred at edges and 165°F inside.
Rest 5–10 minutes tented with foil, then slice thinly against the grain.
Warm pita, assemble wraps with garlic sauce, chicken, vegetables, pickles, and fries.