On March 1st, Shadow Warrior 3 launched day and date on cloud gaming services PS Now and GeForce Now, in addition to PC, Xbox, and PlayStation (digital store and disc).
To stream the game over GeForce Now, users must own the game on Steam. GeForce Now is free to play, with limitations, but also offers a couple of subscription tiers for priority access and other perks.
GeForce Now very commonly supports new releases, but the practice is significantly less common for PS Now. As of yet, Shadow Warrior 3 is not available on Stadia, Luna, Xbox Cloud Gaming, or other services.