Chicken and Mushroom Quesadillas with Carrot and Mango Slaw

Name: Chicken and Mushroom Quesadillas with Carrot and Mango Slaw
Ingredients: 1/2 teaspoon ground cumin; 5 tablespoons olive oil, divided; 1 1/4 teaspoons kosher salt, divided; 3/4 teaspoon freshly ground black pepper, divided; 1 1/4 pounds boneless, skinless chicken thighs, trimmed; 6 ounces button mushrooms, trimmed, coarsely chopped; 2 limes; 1/2 cup Greek-style plain full- or low-fat yogurt; 3 tablespoons coarsely chopped cilantro, plus whole leaves for serving; 2 medium carrots (about 4 ounces each), peeled; 1 medium mango, thinly sliced; 5 ounces baby spinach (about 4 packed cups); 4 (10) flour tortillas; 2 cups shredded Monterey Jack cheese (about 8 ounces)