Ginger Sweet and Sour Chicken

Name: Ginger Sweet and Sour Chicken
Ingredients: 1 fresh lime; 2 tablespoons water; 2 tablespoons cornstarch; 1/4 cup balsamic vinegar; 1 red chile pepper, stem and seeds removed and diced; 2 large cloves garlic, lightly crushed with the side of a knife blade and quartered; 1 teaspoon peeled fresh ginger root, diced small; 1 teaspoon salt; 1/4 teaspoon ground black pepper; 1/4 cup sugar; 1 cup extra-virgin olive oil; 1 liter canola oil, or enough as needed to deep fry; 1 cup rice flour or all-purpose flour (or enough as needed for dredging); Salt and freshly round black pepper; 1 pound boneless chicken breasts cut into chicken-finger-sized strips