The latest stable version of Debian is 12. So yes, the problem is that you're using a very old version of Linux, and it's recommended that you try to upgrade to a more recent one.
Some games will work for you; for example, a game created with Ren'Py 7 will probably work, but if someone is using the latest version of Ren'Py (I think it's 8.4), you'll have problems with those games.