Spray a large saucepan with nonstick cooking spray, heat. Saute the carrot, onion, and garlic over low heat until softened, about 5 minutes. Add broth, cabbage, spinach, tomato paste, basil, oregano, and salt; bring to a boil. Reduce heat; simmer, covered, about 15 minutes. Stir in teh zucchini, and cook 3-4 minutes more. Serve hot.