01 - In a large mixing bowl, combine yogurt, olive oil, lemon juice, minced garlic, cumin, coriander, smoked paprika, turmeric, cinnamon, cayenne, salt, and black pepper. Add chicken thighs, ensuring all pieces are thoroughly coated. Cover and refrigerate for a minimum of 1 hour, or up to overnight for enhanced flavor.
02 - In a food processor, blend garlic cloves and salt until finely minced. With the processor running, slowly drizzle in neutral oil in a thin stream, alternating with lemon juice. Continue until a smooth, fluffy emulsion forms. Add ice water, one tablespoon at a time, as needed for desired consistency. Adjust salt or lemon juice to taste.
03 - Preheat grill, grill pan, or skillet over medium-high heat. Remove chicken from marinade, allowing excess to drip off. Grill or sear chicken thighs for 5 to 7 minutes per side until fully cooked through and lightly charred. Rest chicken for 5 minutes before slicing.
04 - Slice rested chicken. Serve in warmed pita bread with garlic sauce and top with sliced tomato, cucumber, red onion, and fresh herbs.