Amazon puts Luna cloud-streamed games like Fallout 4 inside Prime Video

The new strategy that Amazon gaming exec Jeff Gattis talked to The Verge about last month is getting clearer now that Prime Video has added a new Games tab on Fire TV devices. With Prime Gaming, Amazon Game Studios, and Luna now combined into one organization, it's aiming at the more casual audience of people already using Prime Video to stream movies, TV shows, and sports, instead of trying to compete directly with "core" gamers playing MMOs and shooters. Luna was already included in Prime,…