Auth0 as Idp with two SP

I have two Auth0 tenants.
One is configured as an IdP (Identity Provider).
The other is configured as an SP (Service Provider), connected to a local Next.js application.
Another SP is Google Workspace.

The IdP tenant has two applications set up, each linked to its respective SP.

Currently, I can perform SAML authentication to the local Next.js application through Auth0.
and I can also perform SAML authentication to Google Workspace through Auth0.

However, I need to log in separately to each SP.

While my understanding of SAML authentication is limited, to automatically log in to Google Workspace with the same user credentials used for Next.js after logging into Next.js, what should I do?