The New York institution will also stage house premieres of Moby-Dick, Antony and Cleopatra, and Ainadamar in the coming season.
Sigourney Weaver, David Hyde Pierce, Kristine Nielsen, Shalita Grant, and Genevieve Angelson will all perform at the Lincoln Center Theater gala.
The screen version of the 2018 Broadway musical was released digitally February 20.
Conrad Ricamora co-stars as President Abraham Lincoln in the new dark comedy.
Beatty takes over for Elle Fanning when the show transfers to the Belasco Theatre.
276 shows at 31 venues have been announced as a part of the Edinburgh Fringe's early bird programming release.
Plus, the cast and creatives on why the hip-hop play is "spiritual vitamins."
The musical follows a naïve but upbeat man flying to New York for the wedding of his estranged father.
The Olivier-nominated show featuring songs from hit music artists plays London's Arts Theatre.