The third season under the name Date A Live III landed as part of the winter 2019 season and we learned in September that the spinoff novel series Date A Live Fragment: Date A Bullet is in the works for an anime adaptation.
A second part will be coming on November 13th, 2020 with the subtitle Nightmare of Queen.
The novel series began in 2017 and has five volumes out so far written by Yuichiro Higashide with illustrations by NOCO.
The official site has updated to reveal an August 14th, 2020 debut for the film and that it’s the first part with the formal name Date A Bullet: Dead or Bullet.