Creamy Ham and Potato Chowder

Name: Creamy Ham and Potato Chowder
Ingredients: 2 tbsp olive oil; 2 tbsp butter; 1/3 cup carrots, diced into ¼“ pieces; 1/3 cup celery, diced into ¼“ pieces; 2/3 cup onion, diced into ¼“ pieces; 3 cloves garlic, minced; ¾ lb raw waxy potatoes (e.g., Norland Reds, Yukon Golds), peeled and diced into apx. ¼“ – 1/3” cubes; 1¼ cups chicken stock; ¼ cup all-purpose flour; 2 cups whole milk, room temperature; 1½ cups cooked ham, diced into apx. ¼“- 1/3” cubes; 2 tsp Italian seasoning; ¼ tsp dried dillweed; ¼ tsp paprika; Pinch cayenne (optional); Salt and pepper, to taste; 1/3 cup sour cream; 2 oz (58g) shredded Cheddar cheese; 1½ oz (42g) shredded Gruyère cheese; ¼ oz (8g) finely grated Parmesan cheese