Serious Eats' Halal Cart-Style Chicken And Rice With White Sauce

Name: Serious Eats' Halal Cart-Style Chicken And Rice With White Sauce
Prep time: 20 min
Cook time: 55 min
Total time: 75 min
Yield: 4
Ingredients: For the chicken:; 2 tablespoons fresh lemon juice; 1 tablespoon chopped fresh oregano; 1/2 teaspoon ground coriander seed; 3 garlic cloves, roughly chopped (about 1 1/2 tablespoons); 1/4 cup light olive oil; Kosher salt and freshly ground black pepper; 2 pounds boneless, skinless chicken thighs, trimmed of excess fat (6 to 8 thighs); 1 tablespoon vegetable or canola oil; For the rice:; 2 tablespoons unsalted butter; 1/2 teaspoon turmeric; 1/4 teaspoon ground cumin; 1 1/2 cups long-grain or Basmati rice; 2 1/2 cups chicken broth; Kosher salt and freshly ground black pepper; For the sauce:; 1/2 cup mayonnaise; 1/2 cup Greek yogurt; 1 tablespoon sugar; 2 tablespoons white vinegar; 1 teaspoon lemon juice; 1/4 cup chopped fresh parsley; Kosher salt and freshly ground black pepper; To serve:; 1 head iceberg lettuce, shredded; 1 large tomato, cut into wedges; Fluffy pocketless pita bread, brushed in butter, lightly toasted, and cut into 1 × 3-inch strips; Harissa-style hot sauce, for serving