Minestrone

Name: Minestrone
Ingredients: 2 tablespoons olive oil; 2 large onion, chopped; 2 carrots, chopped; 2 celery stalks, chopped; 1 cup water; 2 Yukon Gold potatoes, peeled and cut into 1-inch chunks; 1 small head of cabbage, shredded; 3 14-ounce cans low-sodium beef broth; 1 teaspoon dried thyme leaves; 1 14-ounce can diced tomatoes with liquid, chopped; 2 15-ounce cans cannellini beans, rinsed and drained; 1/4 pound green beans, cut into 1-inch pieces (1 cup); 1/2 teaspoon kosher salt; freshly grated Parmesan; 1 cup chopped broccoli; 1 cup small dried pasta or spaghetti broken into 1-inch pieces