Bioshock 4 (working title) is the next release of the franchise and was announced in 2019. That said, 2K Games made it very clear that the game wouldn’t be released anytime soon and would be in development for several years.
Amidst all this, a leaker claimed that BioShock 4 may, in fact, be PlayStation exclusive. The information was given in the podcast Xbox Era (same source that leaked the games from PS Plus plan for May), which you add if you don’t know if it will be a completely exclusive title or just a temporary one.
It is highly unlikely that 2K Games will agree to a completely exclusive title. Anyway, wait for an official announcement and consider this news as a rumor.
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