This is not a chess game. it is a shatranj game.
the oldest chess game recorded
I did an analysis of this game here.
https://www.chess.com/blog/BrittleSnarl/the-oldest-chess-game-analysis
I did an analysis of this game here.
https://www.chess.com/blog/BrittleSnarl/the-oldest-chess-game-analysis
Some more on the Paper Game. I found an article on chessbase, but they have no explanation on the different game scores either. (It's a little funny is that they got the game score from the paper wrong, my version is correct.) Perhaps someone substituted an analysis as the game score.
On Tidskrift för Schack, perhaps they misunderstood an article from a Soviet chess magazine. If so, there should be an article from 1955 or so on a Soviet attempt on Turings idea. Perhaps one of our Russian friends can find one. Try in the archives of your local library.
That may be the first article on computer chess in a chess magazine.