Please help with my xbox game

I wouldn't put a broken disk in especially with tape on it, it wouldn't work and probably wreck your Xbox

I have another copy of that disk but the game is in another language, I just wanted to see if it was risky to put that disk in the xbox or at least put some tape

If you have a Physical Media and it is broken, you need take a new game phycal media or buy the Digital media, that is the vantage by take the Digital Media Game

I would be very careful with that disc. A broken disc can cause an imbalance in the drive when it spins up, potentially damaging the drive. I personally would look at replacing the game rather than take the chance of having to replace the entire system.
An alternative would be to see if it available as a digital purchase from the Xbox store so you don't have to worry about a disc at all.

Too bad, I would have liked to try the game with my language again. By the way, do you know if a game on a disc can change the language in the Xbox 360? I have another game that allows me this option

I'm not sure. I have never tried that myself. If the system recognizes it as the exact same game it shouldn't. The only way to know for certain is to try it. If it says it is not recognized or is trying yo reinstall the game, just cancel it. I would be interested
in knowing how it works out.