Egg Soup with Vegetables

Name: Egg Soup with Vegetables
Ingredients: 1 medium onion, diced; 4 celery ribs, sliced; 4 medium carrots, diced; 4 roma tomatoes, diced; 5 garlic cloves; 2 dry bay leaves; 7 cups chicken broth or vegetable broth; 5 eggs, whisked; 2 tbs unsalted butter; 1 tbs avocado oil; 2 tsp salt (divided, more to taste); 0.25 tsp black pepper