Hi @Asta-of-the-ice, welcome to the community.
Please ensure that your save is stored on the XBOX cloud before trying each of the following steps and letting us know if they help:
Reset the console cache by holding the power button for about 10 seconds until the console powers off, then disconnecting it from the power outlet for a couple of minutes, then try loading into your SP session.
Try to perform a soft factory reset while keeping games and apps.
If the above procedures don’t help, would it be possible to try installing the game to a different drive?
Apologies for the delay in our response, according to the corruption error you’re getting we have reason to believe that the issue might be tied to bad sectors on your console’s drive, so we’d recommend that you try installing the game to a separate one to determine if that could be the cause.
Although it’s unlikely that the issue might stem from the disk itself, it could be related to the console’s optical drive as it’s failing to read the disk at times, which in return may lead to all sorts of issues similar to the ones you’re experiencing.
As mentioned before, it’s also possible that there’s an issue with the console’s hard drive, would you be able to try and run the game from an external drive just to dismiss this possibility?
Alternatively, could you try to download the game from the store to your console through your friend’s account?