Lady Gaga was back to her usual shocking antics when she popped into Midtown strip club HeadQuarters Monday wearing “a transparent jumpsuit with a few carefully placed sequins over her nipples and private parts” and lap-danced for a man who looked a lot like on-again boyfriend Matt Williams. A spy said they “smooched and groped to the point several people suggested they rent a Champagne Room so she could give him a private, versus public, lap dance,” adding that by the end of the night, the guy was covered in Gaga’s red lipstick.