Google Identity Platform in GCP provider, missing functionality?

I have two issues relateding to Google Identity Platform in the GCP provider:

Firstly, when trying to enable the service with google_project_service_identity, the service does not seem to get enabled. I am using identitytoolkit.googleapis.com as the service, as the Google docs imply (Identity Toolkit API  |  Identity Platform Documentation  |  Google Cloud).

The second issue I’m encountering is that it does not seem possible to manipulate several service level settings, such as audit-logging, triggers, authorized domains and username/password login (last one at the project level).

Am I missing something, or is this just unimplemented functionality for Google Identity Platform?