Asian Mushroom Soup

Name: Asian Mushroom Soup
Ingredients: 2 tablespoons vegetable oil; 4 garlic cloves, thinly sliced; 1 (2-inch piece) fresh ginger, peeled and thinly sliced; 2 quarts reduced-sodium chicken broth; 3 tablespoons soy sauce; 2 tablespoons fish sauce, optional; 2 portobello mushrooms, caps peeled, cleaned and thinly sliced; 5-ounces cremini mushrooms, thinly sliced; 10 small shiitake mushrooms, cleaned and left whole; Outer leaves of 1 small Napa cabbage or 1/2 large cabbage, leaves roughly torn; 2 carrots, peeled, cut in 1/2 lengthwise then in 1/2 crosswise, and very thinly sliced; 2 good handfuls snow peas; 1 small bunch scallions, thinly sliced; Dark sesame oil