Bitwarden with cloudfare tunnel and user authentication

I have set up bitwarden in my internal network and for a while I was using it via a reverse proxy with no issues.
To add an extra layer of security I was thinking to use cloudflare tunnel. Their zeroTrus Dasboard offers the possibility to add a third party IdP.
I have chosen a regular goole authentication. Now I will be promted to log into my google account before I am granted access to my bitwarden installation.
This case is no true SSO as bitwarden will still ask me for my username+pw - which is fine.

The setup works for the browser access and the chrome plugin.
It does not work for the Windows application or the Android one. The error is not shown - but I am fairly certain that these apps can not handle the google authentication challenge.

Is there maybe an alternative way for user authentication that will work?