The New York Film Festival and Rolex unveiled their new filmmakers lounge at the Lincoln Center Thursday night, where filmmakers including Paper Tiger’s James Gray and Behemoth!’s Tony Gilroy caught up and prepared for the frenzy of opening night Friday and the days ahead. Housed within the glass-walled Lincoln Ristorante, across from the Lincoln Center reflecting pool and within eyeshot of the main exhibition hall for the film festival, the lounge had been a goal for the festival and for Daniel Battsek, president of Film at Lincoln Center, who noted that he had brought it up in his interview before taking on the position in 2025. The…