XBOX 360- Can I install a game from a disc that gives a Unrecognized Disc error?

So my Minecraft: Xbox 3060 Edition disc stopped working about a year or so ago, and would give me an "unrecognized disc" error. I tried my best to fix it but i failed and soon just forgot about it. I came back to it today and found out that I can install a game to the xbox itself from a disc and be able to play it without having to use the disc, and I'm wondering if there's any way to do that with my broken game.
(warranty for the game has ended a long while ago so that isn't an option.)