Prince spent over an hour getting his hair coiffed in a private room with his stylist at the St. Regis Hotel’s Salon Fodera before the American Ballet Theater premiere of “The Nutcracker” at BAM Thursday night, where other attendees were surprised by the pop star’s appearance. Mary-Louise Parker, Kelly Rutherford, Blaine Trump, Hamish Bowles, Denis O’Hare, Veronica Webb, Rachel Roy and Ana Gasteyer mixed and mingled before and after the performance.