The rep asked if I went to [a university I did not go to], asked if the last four digits of my social were [4 digits that it is not] , and so they were like, "ok I'll remove this address from that account."

Asked that person if I need to report identity theft to the FTC and they assured me I shouldn't need to since the account is a different SSN.

So it sounds like a clerical error. I'm gonna file the letters for now and hope that's it.