I can't tell if your error is because of your game disc being bad. It would have been easier to get help back in 2012 when the game was released. Google isn't providing any info and keeps giving results for the unrelated julia programming language.
Were you ever able to install and run this game in the past?
Or is this the first time you tried it?
Did you try running a disc checking program like one of thesehttps://www.raymond.cc/blog/test-cd-or-dvd-readability-by-running-surface-scan-and-file-test/
Their #5 (Nero DiskSpeed) is the one I've heard of. You can also try copying the contents of the game disc to a folder on your hard drive. It won't "install" the game but if the drive isn't able to read part of the disc it will let you know.
If there's no problem reading the disc, then buying a new one won't do you much good.
The "Among the Stars" remake had better gameplay than the original J.U.L.I.A. but removed the "good ending", leaving you only a choice of two unhappy endings. I suppose the developer thought it was more "realistic" but I liked having the choice of a more positive ending in the original. I suppose you can still watch the original ending on YouTube, but it would have been nice if it had been an option in the "Among the Stars" game itself.
Anyway, check the disc and make sure this isn't caused by a problem reading the disc.