How to get SAML token from Application Pool Identity (for the configured user)?

Is there any way to get SAML token for the Application Pool Identity User (configured user)?

when we configure application pool dentity stores config entries (user name & password) in applicationHost.config under %systemroot%\System32\Inetsrv\config path.

When application starts, it picks the user name and encrypted password for authentication. After successful authentication, will it follow token based authentication for subsequent calls or will always follows basic authentication ?

If it token based then how can i get the SAML token for application pool identity user, after the first response?

if any links please let me know.

Thanks in advance.