Custom social connection or enterprise connection using OIDC hybrid flow

It seems like it is not possible to do an API call to the social connection using hybrid flow with response type “code id_token”. I tried it with enterprise login which allows me to use either implicit flow or the authorization flow. Is there any way to use both? Because the API I want to connect to, uses hybrid flow.

There is already this question:

which is a bit old and the answer says to look out for the latest update in enterprise connection.
Please let me know.