Booze Dogs are bratwurst infused with bourbon, rum or gin. (Courtesy photo) To answer the big question first, yes, Booze Dogs — Man’s Best Brat — are infused with real booze. Bourbon, gin and rum. “The alcohol cooks off,” says Joe McGowen, who spent seven years developing the specialty bratwursts before getting USDA approval and beginning sales last summer. McGowen calls the alcohol level in his brats “perfect proof,” meaning anyone of any age can eat them. “No one’s going to get drunk or get a buzz,” he said. McGowen said interest in his brats is growing, but he’s still…