React : how to solve "Credential is not supported if the CORS header ‘Access-Control-Allow-Origin’ is ‘*’" error?

So I'm using a third party API in my front-end application. I was having some CORS issues. Since it's a public API, I contacted the API maintainers to ask them to lift the CORS control. They've done it, seemingly by putting a '*' to ‘Access-Control-Allow-Origin’. It would be perfect but... since this (old) API require authentification, it's using cookies and now I get this error (see title). My application being in React, I'm using Axios with a

myApiRequest.defaults.withCredentials = true;

line.

Is there any way to do it in a front-end application or is back-end the only way to do it ?

Thanks !

from React : how to solve "Credential is not supported if the CORS header ‘Access-Control-Allow-Origin’ is ‘*’" error?