Melt the butter in a medium saucepan over low heat.
Add the flour and whisk constantly until a light golden roux forms.
Gradually whisk in the milk, ensuring a smooth, lump-free base.
Once the sauce begins to thicken, add the grated cheese and stir until completely melted and smooth.
Stir in the sliced jalapeño peppers and grated garlic, mixing thoroughly.
Season with salt and pepper, and let the sauce simmer for another 1-2 minutes to allow the flavors to meld.
Serve the sauce warm with tortilla chips, French fries, or grilled vegetables. It can be stored in the refrigerator for 2-3 days; gently reheat before serving.
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