The New York Film Festival said on Monday that it would host the world premiere of Mr. Lee’s film on Oct. 14 in a theater — a relatively small one, with just 300 seats — rigged with projectors capable of playing the film in 3-D, 4K ultra-high-definition and at the extremely fast speed of 120 frames a second. No film has ever been shown publicly that way before, according to the festival and Sony Pictures, which will release “Billy Lynn’s Long Halftime Walk” nationally on Nov. 11.