A jury sided with Kevin Spacey on Thursday in one of the lawsuits that derailed the film star’s career, finding he did not sexually abuse Anthony Rapp, then 14, while both were in Broadway plays in 1986. The jury of five men and six women deliberated for just under 90 minutes yesterday before deciding that Rapp hadn’t proven his allegations. Rapp appeared stoic as the verdict was read, and his lawyers seemed dejected as they left the courthouse in downtown Manhattan. When the verdict was read, Spacey dropped his head, then hugged his lawyers. He didn’t speak to reporters as he left the courtho…