Katie Holmes was spotted at Lure Fishbar recently with producer Rick Schwartz on what spies said looked like a date, after the Hollywood moviemaker’s split from “Entourage” hottie Emmanuelle Chriqui. “Katie looked relaxed and beautiful,” said a spy. “The two were laughing and flirting.” Schwartz has produced “The Departed” and “Black Swan.” But Holmes’ rep said that the meeting at chef Josh Capon’s restaurant was to “discuss a work project,” and not to develop a romance.