Brads Campsite Jambalaya

Name: Brad's Campsite Jambalaya
Ingredients: 2 tablespoons vegetable oil; 1 1/2 pounds skinless, boneless chicken thighs, cut into 1 pieces; 1 pound andouille sausage, sliced; Kosher salt, freshly ground pepper; 1 large onion, chopped; 1 red bell pepper, chopped; 4 celery stalks, chopped; 4 garlic cloves, finely chopped; 2 tablespoons tomato paste; 1 pint cherry tomatoes, some halved, some whole; 2 cups long-grain white rice; 2 tablespoons Creole seasoning; 2 bay leaves; 6 cups low-sodium chicken broth; 3/4 pound medium shrimp, peeled, deveined; Handful of fresh flat-leaf parsley leaves with tender stems