An alleged fake Cartier heiress, Andrea Bartzen, 60, stood in the candlelit courtyard outside Palm Beach, Florida, restaurant Bice last Tuesday, sipping Champagne and eating hors d’oeuvres in a designer Alice and Olivia gown. The Upper East Sider held court with a high society crowd, including navy seal veteran William Branum, former pro-basketball player Gary Forbes and Tiger Woods ex Rachel Uchitel . She had wrangled the cast for a “Cocktails and Conversation” mixer , for which she charged $150-per-ticket. “I bring the powerful and wealthy into a room,” Bartzen told The Post of her rolodex of rich entrepreneurs. For years, Andrea Bartzen, 60, has been using the name Andrea Cartier Bartzen, to throw parties and events, though she is not affiliated with the luxury jewelry brand or family. She told The Post: “I never go around saying that I’m an heiress.” However, Bartzen herself was as much the subject of the room’s gossip as her guests, following a scathing New York Magazine article .…