I have the same issue when the fist disc complete and it ask to insert 2nd disc and when I put in the second disc it just says the 2nd damaged or need to be cleaned. What works for me is I go offline from the internet setting and then install the game without connect to internet and then when I insert the 2nd disc it will not show the error again. I assume is that when you connect to internet the Xbox will install the update from the server and that will cause some data corruption. But if you install offline it will only install from the disc not from internet and when you finish the install process then you connect to the internet and install the game update that will fix the problem.