Cheesy Soup

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2 tablespoons unsalted butter

1 medium leek, green parts only, chopped

4 cups chicken stock, or canned low-sodium broth

1 medium potato, peeled and diced

2 cups half-and-half

3/4 cup freshly grated provolone

3/4 cup freshly grated Parmesan

3/4 cup freshly grated mozzarella

3/4 cup freshly grated Cheddar

Freshly chopped tarragon leaves, for garnish