Add the butter to a medium-size saucepan set over medium heat. When melted, add the onion and garlic. Sauté until the onion has become translucent, about 5 minutes. Stir in the flour and continue to cook for another 2 minutes while stirring. Add the beer, stock, milk, and cream and simmer until thickened. Add the cheese, salt, and pepper. Stir until the cheese is completely melted and the sauce is smooth.
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