I wouldn't put beer into my (small) compost bins as the resulting compost might then smell of beer and attract every slug in a ten mile radius. Big, hot bins or piles might process beer better.
Pick out the slugs. Ensure they are dead. Put on compost heap. Mix the beer with warm water and pour down sink/drain Alternatively, invite an annoying person round for drinks and offer them a Special Brew beer.
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Gardening in Central Norfolk on improved gritty moraine over chalk ... free-draining.
Failure is always an option.