Pulled Chicken Ragu and Rigatoni

Name: Pulled Chicken Ragu and Rigatoni
Ingredients: 6 chicken thighs; 2 bone-in, skin-on chicken breasts; 2 carrots, coarsely chopped; 2 ribs celery, coarsely chopped; 2 onions, 1 quartered at the root end and 1 chopped; 2 bay leaves; Kosher salt; Small handful dried porcini mushrooms; 1/4 cup EVOO; 1/4 pound pancetta or guanciale, cut into thin batons or chopped; 4 cloves garlic, sliced; 3 tablespoons fresh rosemary, finely chopped; Freshly ground black pepper; 3 tablespoons tomato paste; 1 1/2 cups dry white wine; 1 pound rigatoni; Grated pecorino cheese; Flat-leaf parsley, chopped, for garnish