Finest Arabic Chicken Shawarma Sandwich

Name: Finest Arabic Chicken Shawarma Sandwich
Ingredients: 3 tablespoons Greek yogurt; 3 tablespoons chile sauce; 2 tablespoons white vinegar; 2 tablespoons barbeque sauce (such as HP®); 1 tablespoon dark soy sauce; 4 cloves garlic, minced; 0.5 teaspoon ground white pepper; 0.5 teaspoon ground black pepper; 1 pinch ground cinnamon; 1 pound boneless chicken breast, cut into cubes; 0.5 cup Greek yogurt; 3 tablespoons tahini; 2 tablespoons lemon juice; 2 cloves garlic, chopped; 0.5 teaspoon salt; 0.25 cup cooking oil; 6 pita bread rounds; 0.5 head cabbage, finely shredded; 1 onion, cut into matchstick-size pieces; 2 pickled cucumbers, sliced