“Wait, I watched that new show and this game isn’t even canon anymore, right?”
Apparently, you didn’t watch the entire series because it literally ends with a big hint that, no, New Vegas is canon. Besides, Todd Howard confirmed New Vegas is still canon. Stop being silly and instead join this 20,000-post-long Reddit thread debating which ending of New Vegas will be represented in the show. And remember: Whichever option Amazon goes with, none of us will be happy!
