Hi friends, I am not overly familiar with this game but I was curios about it as a run. Would the version in the Capcom Arcade Stadium be valid for the run?

Yes, Capcom Arcade Stadium is valid. But you gotta show up that runs are done using it, and mentioning the port (PC-Steam, Xbox, PS4-PS5). Speeding up/Slowing down and Invincibilty the video-runs feature in Capcom Arcade Stadium are not allowed.