Hello,
If the current free version is updated without renumbering, I'm afraid the issue is not solved.
From the log, even though the game itself from itch.io is not depends on Steam, but looks like it should write files on user's home directory? If so, this might be a problem. Seems like Tails does not grant programs to write on user's home directory for the security reason.
I didn't test on the another distributions, but as long as the game runs without errors on some major distributions like Fedora, Ubuntu, etc., this might not be a problem since Tails is not really designed for running such a thing.
Hope my opinion helps.