Melt the butter in a saucepan over medium heat. Add the flour and whisk to combine. Cook for 1-2 minutes, until a light roux forms.
Gradually whisk in the beer and milk, ensuring a smooth sauce base.
Add the grated cheddar cheese and stir until completely melted and smooth.
Season with garlic powder, smoked paprika, salt, and black pepper. Simmer over low heat for 5 minutes to allow the flavors to meld.
Serve warm with nachos, french fries, or grilled vegetables.
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