Sonoran Style Potato Cheese and Tomato Soup

Name: Sonoran-Style Potato, Cheese, and Tomato Soup
Ingredients: 3 Tbsp. extra-virgin olive oil; 1 medium red onion, finely chopped; 1–2 poblano or Anaheim chiles, seeds removed, thinly sliced; 1 tsp. Diamond Crystal or ½ tsp. Morton kosher salt, plus more; 3 large garlic cloves, thinly sliced; 1 Tbsp. tomato paste; 1 medium green or yellow summer squash, cut into ½ pieces; 1 lb. Yukon Gold potatoes (3–4 large), scrubbed, cut into ½ pieces; 6 cups chicken broth (not low-sodium); 1 cup cherry tomatoes, halved; ⅓ cup oregano or marjoram leaves; 1½ tsp. red wine vinegar; ½ cup whole milk or half-and-half (optional); 10 oz. queso fresco, cut into ½ pieces