Forza Horizon 4 for Xbox - is there a difference between Xbox One and Series x?

My godchild would like the Forza game for Christmas.

It has the latest Xbox (if it is important: bought a month ago, cost about 500 euro)

Now I've bought Forza Horizon 4, the package says "Only for Xbox One Console". Is the game right? Or did I buy the wrong game?

Is the right game.

Compared to Playstation or Nintendo consoles, for example, it does not matter what kind of console it is written on, as they are downward compatible. Your sponsored child will be able to play with the latest version of Forza Horizon 4 on Xbox Series X.