Chicken Shawarma Wrap

Name: Chicken Shawarma Wrap
Ingredients: 1/4 cup olive oil, plus more for oiling the grill grates; 1 teaspoon ground cumin; 1 teaspoon sweet paprika; 1 teaspoon ground turmeric; 1/4 teaspoon ground allspice; 1/4 teaspoon chili powder; 1/8 teaspoon ground cinnamon; 4 cloves garlic, smashed; 2 lemons, zested and juiced; Kosher salt; 6 skin-on, boneless chicken thighs; 2 tablespoons extra-virgin olive oil; 2 teaspoons apple cider vinegar or white balsamic vinegar; 2 Roma tomatoes, diced; 1 English cucumber, diced; 1 lemon, juiced; 1/2 small red onion, minced; Handful fresh curly parsley leaves, chopped; Kosher salt and freshly ground black pepper; 1/2 cup tahini paste; 1 tablespoon extra-virgin olive oil; 1/2 lemon, juiced; 4 large flour tortillas, slightly griddled until soft; 1 head romaine, shredded; Pickled whole Middle Eastern peppers, for serving