Reuben Soup

Name: Reuben Soup
Cook time: 30 min
Total time: 30 min
Cuisine: American
Ingredients: 1 (32 oz.) carton low-sodium chicken or beef stock; 1 pound cooked corned beef or pastrami, diced, fat removed; 1 (8 oz.) package sauerkraut, rinsed and drained; 1 yellow onion, chopped; 4 carrots, chopped; 3 cloves garlic, minced; 1 teaspoon oregano; 1 bay leaf; 1/3 cup cold water; 1/4 cup cornstarch; 1 cup heavy cream; 1 (12 oz.) package Swiss cheese, sliced; 2 tablespoons extra-virgin olive oil; 6 slices marbled rye bread; 2-3 tablespoons extra-virgin olive oil or butter, melted; kosher salt and freshly ground pepper, to taste