How do I amend this wrong w-2 information

I am MFJ and last year on my 2021 return I accidentally reported my wife's W-2 under my name and SSN. All the amounts are correct so our joint income wont be different and what we owed won't change however it information-wise it is not correct. The return was accepted with no hiccups or follow ups from the IRS so far as of writing this. Do I need to amend my 2021 return? If so how do I go about it since the amounts are not changing. Do y'all think my return for 2022 will be rejected because of this?