Sweat 2 each diced carrots and leeks in butter. Add cayenne, salt, 3 tablespoons flour and 2 tablespoons dry mustard; cook 2 minutes. Add 1 bottle beer, 1/4 cup horseradish, 3 cups water and a dash of Worcestershire; simmer until thick. Whisk in 2 cups half-and-half and 1 1/2 cups cheddar.
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