How? Gout is caused by a buildup of uric acid, which is created in the body as a byproduct of breaking down purines. Purines are essentially broken down pieces of DNA.
This makes sense when you discover that beer can cause or worsen gout, because of the large amount of yeast present, but other fermented beverages such as wine do not.
Obviously there are other factors that go into gout, and other causes too, but the primary cause is eating DNA!