Mince the garlic and fresh rosemary. Measure out all the other ingredients so everything is ready to go.
In a medium saucepan, heat the beer over medium heat, then add the tomato paste, brown sugar, apple cider vinegar, and Worcestershire sauce.
Stir in the minced garlic, rosemary, and Hungarian sweet paprika. Cook over medium heat, stirring constantly, for 5-7 minutes, or until the flavors begin to meld.
Season with salt and pepper, then reduce the heat to low and simmer for another 15 minutes, or until the sauce has thickened to your liking.
For a smoother sauce, use an immersion blender to puree until smooth. Allow to cool slightly before serving.
Serve with grilled meats, chicken, or vegetables. The sauce can be stored in the refrigerator for up to a week.
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