Fyou could use the ZITADEL actions to add either metadata to the user or a specific role, depending on what works better for you
Fyes i think you are right, in the complement token flow we do not have the info of the idps, but @stebenz might be able to tell more
SUnfortunately there is no information on the idp yet, technically it wouldn't be that much of a problem, @karatekaneen do you want to create an issue on github so that we could track this?