Fattoush Salad with Grilled Chicken

Name: Fattoush Salad with Grilled Chicken
Ingredients: 1/4 cup extra-virgin olive oil; 2 tablespoons fresh lemon juice (from about half a lemon); 2 tablespoons white or golden balsamic vinegar; 1 tablespoon chopped fresh oregano; Kosher salt and freshly ground black pepper; 4 cups baby arugula; 1 1/2 cups cherry or grape tomatoes, sliced in half; 1/2 cup loosely packed chopped fresh Italian parsley; 1 cucumber, peeled and chopped; 1/2 red bell pepper, chopped; 1/2 yellow bell pepper, chopped; 1 teaspoon extra-virgin olive oil; One 8- or 9-inch gluten-free pizza crust, defrosted if frozen; 2 grilled chicken breasts, sliced; 1 cup crumbled feta