Chicken Nacho Soup

Ingredients

• 1 tablespoon tomato paste
• 1 14 .5-ounce can diced tomatoes (preferably fire-roasted)
• 1 large russet potato, peeled and diced
• 1 zucchini, cut into 3/4-inch pieces
• 1/2 white onion, finely diced
• 1 small jalapeno pepper, finely chopped, plus slices for topping (remove seeds for less heat)
• 1 clove garlic, finely chopped
• 1 teaspoon dried oregano
• 1/2 teaspoon ground cumin
• 3 sprigs cilantro
• 1 15 -ounce can hominy, drained and rinsed
• 3/4 cup crushed tortilla chips, plus whole chips for topping
• 4 cups low-sodium chicken broth
• Kosher salt
• 1 1/2 pounds skinless, boneless chicken breasts, cut into 3/4-inch pieces
• 8 ounces American cheese, diced
• 1/2 cup milk