- Legitimately

Physical

For here, The Complete Adventure is the only version that has all episodes, and has all episodes pre-installed. Apparently if you own the Season Pass disc (episodes 1-5) you can't buy the Adventure Pass (episodes 6-8) or episodes 6-8 separately as they've been taken down from the Microsoft Store.

Note: All Xbox One games play flawlessly on Xbox Series X|S. MCSM is no exception.

- Yarr!

Homebrew

Nothing much is possible here. The closest anyone has gotten to “jailbreaking” an Xbox One is this guy, who used an emulator to get the Xbox 360 version working via using the Xbox 360 backward compatibility in developer mode. This has been tested. S1 works alright with occasional crashes, but S2 has black texture issues, stuttering and audio issues.
(Credits to DroidTheAwesome and Knollad Knolladious for testing.)
Below: Footage of this buggy abomination.
https://www.youtube.com/watch?v=IO2C4nPuHTA