Italian Chicken and Dumplings

Name: Italian Chicken and Dumplings
Ingredients: 5 tablespoons extra-virgin olive oil, divided; 2 pounds chicken tenderloins, diced into bite-sized pieces; Salt and freshly ground black pepper; 4 tablespoons butter, divided; 12 large white mushrooms, sliced; 1 cup shredded carrots, store bought; 4 ribs celery from the heart, very thinly sliced; 1 to 2 fresh bay leaves; 3 tablespoons all-purpose flour; 3 cups chicken stock, divided; 1 cup basil leaves; 1 clove garlic; A generous handful parsley leaves; A handful pine nuts, lightly toasted; A couple handfuls grated Parmigiano-Reggiano; 1 lemon , zested; 2 (10 to 12-ounce) packages, fresh gnocchi