Coxinha (Brazilian Chicken Croquettes)

Name: Coxinha (Brazilian Chicken Croquettes)
Prep time: 1 h 10 min
Cook time: 30 min
Total time: 1 h 40 min
Cuisine: Latin American
Ingredients: 1 1/2 pounds chicken breasts (about 4 halves); 4 to 5 cups chicken broth; 1 carrot (halved); 2 onions; 2 bay leaves; 2 tablespoons butter; 2 cloves garlic; 1 lime (juiced); 8 ounces cream cheese (softened); 2 to 3 cups all-purpose flour; 2 eggs; 2 to 3 cups bread crumbs (fine); 3 cups vegetable oil (for frying); Dash salt (to taste); Pepper (to taste)