Here is the trailer for Terminator: Resistance, which will release for PlayStation®4, Xbox One and PC via Steam® on November 15th 2019 in Europe & Australia and December 3rd 2019 in North America.
The game seems to only be tied in with the first two movies.
TERMINATOR: RESISTANCE is a single player first-person shooter developed by Teyon. It features an original story based on the film rights for legendary motion-pictures ‘THE TERMINATOR’ and ‘T2: JUDGMENT DAY’. It takes place in a post-apocalyptic Los Angeles, nearly 30 years after Judgment Day, and expands upon the Future War glimpsed at in the iconic films from James Cameron, ‘THE TERMINATOR’ and ‘T2: JUDGMENT DAY’.