Vietnamese Bean Thread Salad

Name: Vietnamese Bean Thread Salad
Ingredients: 1 2-inch piece fresh ginger, unpeeled, cut into several coins; 2 star anise; 1 tablespoon salt, or more as needed; 2 bone-in chicken breasts (about 1 1/2 pounds); 1 pound medium or large shrimp, unpeeled; 1/2 cup good-quality vegetable oil; 1/2 cup fresh lime juice, or more as needed; 1 carrot, grated; 1 shallot, minced; 1/4 cup fish sauce; 2 tablespoons sugar; Pepper; 8 ounces bean thread noodles; 1 large cucumber, peeled, seeded, and sliced into thin crescents; 2/3 cup chopped fresh mint; 2/3 cup chopped fresh cilantro; 2/3 cup chopped fresh Thai basil