Cozy Extra Veggie Vegetarian Lasagna Soup

Name: Cozy Extra Veggie Vegetarian Lasagna Soup
Ingredients: 2 tablespoon olive oil; 1 cup diced onion (about 12/ a large onion); 1 cup diced carrots (about 2 large carrots); 1 cup diced zucchini (about 1 small zucchini); 3/4 teaspoon salt (divided); 2 tablespoons balsamic vinegar; 2 cups pasta sauce; 2 cups vegetable broth; 3-4 cups loosely packed baby spinach (roughly chopped); 6 ounces lasagna noodles ((6-8 sheets), broken into about 2-inch pieces); 1/3 cup grated parmesan cheese (optional, omit for dairy-free or vegan option); shredded mozzarella cheese and/or ricotta cheese, for serving (optional, omit for dairy-free or vegan option); fresh basil, chopped (for garnish, optional)