Fattoush Salad with Crispy Lavash and Charred Chicken

Name: Fattoush Salad with Crispy Lavash and Charred Chicken
Ingredients: 4 ounces lavash (about 3 sheets); 2/3 cup extra-virgin olive oil, plus more for drizzling; Kosher salt and freshly ground black pepper; 2 boneless, skinless chicken breasts (about 1 pound); 1 1/2 teaspoons honey; Zest and juice of 2 lemons; 2 cloves garlic, grated; 1/2 teaspoon sumac, plus more for sprinkling; 2 romaine hearts, cut in 1-inch pieces; 2 Persian cucumbers, halved and sliced 1/4-inch thick; 2 cups grape tomatoes, quartered; 3/4 cup hand-torn fresh mint leaves