Credit: AmazonTL;DRAmazon is integrating its cloud gaming platform, Luna, into Prime Video.Playing games comes at no additional cost for Prime members.Luna is available on Prime Video starting today for US and UK users with Fire TVs.Amazon founder Jeff Bezos is pushing for a redesign of Prime Video that highlights the company’s AI abilities. Although versions of that redesign are reportedly already in testing, that overhaul likely won’t arrive for a while. However, there is one change to the app that’s coming out today, and you’ll probably appreciate it more than having more AI shoved in your face.If you forgot that Amazon runs a cloud gaming platform called Luna, no one would blame you. But the service will be a lot harder to forget now that Amazon is integrating it directly into Prime Video. That’s right, the e-commerce giant announced that you’ll now be able to play games within the Prime Video app.