Room 112 in SoNo is a clubby place for a cocktail. With a black-and-red color scheme, a pool table, and lots of sofas, it has a dark and decadent feel. Open to the public Wednesday through Saturday from 5 to closing, it’s also a private event space. Downstairs, there’s a smaller bar and a game room, featuring pool and darts. We were invited to sample some cocktails on a quiet Wednesday evening. The cocktails other guests were drinking were layered and garnished with fresh fruit and herbs. My friend cast a needed light upon the cocktail menu (the room is dark). Overwhelmed by the lists of ingredients, we chose an old favorite,  caipirinha.  At Room 112, the Brazilian drink traditionally made of sugar-cane rum, limes and sugar, gets a mixologists list: cachaça, lemon bitters, muddled lemons, limes and sugar. The Tom Old Fashioned is an aromatic blend of gin, vermouth, muddled tangerines, sugar and bitters. It’s garnished with a slice of orange and cherry. The Magic Mule is served in a coppery pineapple vessel. The Magic Mule shakes up lemon-grass-infused vodka, ginger liqueur, fresh …