However, as far as I know, such a strict background check procedure is only needed in extremely sensitive industries. Listen to the requirements of your medical examination hospital. I think it's no problem.
No matter whether you have a certificate of resignation or not, you can do it in the following two ways!
1, talk directly with HR colleagues in private to discuss whether the resignation certificate can be "simple and clear", for example, only the details such as the dissolution of labor relations are written, and the position and entry/departure date are not written.
2. If it really doesn't work, just change the certificate given to you by others, affix the official seal, and then take a copy to the new company (you know what I mean).