General Tsos Chicken

Name: General Tso's Chicken
Ingredients: 1 ½ teaspoons toasted sesame oil; 1 large egg white; ¼ cup plus 1 tablespoon soy sauce; ¼ cup plus 3 tablespoons cornstarch; 1 pound skinless boneless chicken thighs (trimmed and cut into /2-inch pieces); 1 cup low-sodium chicken broth; 1 teaspoon Chinese chile-garlic sauce; 3 tablespoons sugar; 1 tablespoon vegetable oil (plus more for frying); 2 tablespoons very finely chopped fresh ginger; 2 large garlic cloves (minced); 4 scallions (thinly sliced); Steamed broccoli and white rice (for serving)