I have both a Series S and a Series X, in the same house. If I buy a disc version of a game...

I am thinking of buying hogwarts legacy as a digital game but it is sold out for Xbox one so should I buy the Series X game and put the code in the Xbox one Store?

No. The series X/S version of the game will only work on the Series X or S.

The only way that would work is if it's a code for the digital deluxe version of the game (which comes with both the series x/s and xbox one versions of the game)

If you buy the digital deluxe edition, it includes both the One version and the Series S/X version.

Otherwise, you would need to buy both versions since the Series S/X version won't work on a One.

Ok I have both versions of GTA downloaded on my series x the Xbox one version works fine on the series x I then downloaded the series s/x version on the series x I then launched the game and it gives the error message

Hello Tameaka.
My name is Ezequiel. I'm an Independent Consultant and I'm happy to help you today. Great question, in the store you will find three versions of Hogwarts Legacy, one for Xbox One, another for Series S/X, and the Deluxe version, the Xbox one version you can play on any console in the Xbox One family, the Series S/ X only works on new generation consoles, and the Deluxe version comes with both Hogwarts for Xbox and Hogwarts for Series S/X game versions and exclusive content. Be very careful when making your purchase not to buy the Series S/X version of the game, this version is only compatible with the latest generation consoles. The version of the game Hogwarts for Xbox One can be played on Series S and Series X consoles, but you won't have the same graphics as the exclusive version for Series S and Series X consoles. If you have any questions, please contact me again and I'll be here to explain any other questions.

NO! Unlike some games that have an Xbox One version that will upgrade to the the S|X version if you put it in a series X, NBA2K for S|X is a complete different version than the Xbox One version and it will not work if you put the disc inside of an Xbox One. Xbox One cannon run a Series X game and putting a Series X disc inside an X1 will not install the X1 version.