I can't manage to change the tenant

[Riccardo71V]

also if I use different credentials, it reads always the tenant my firm. I have tried to disconnect the account from the browser. How can I force Maester to use another tenant ID. the documentation is not clear in this point

[An-dir]

Have you tried the tenantid parameter when connecting with connect-maester.
Source:
https://maester.dev/docs/commands/Connect-Maester/#-tenantid

Did you read that about "Connect-Maester" as well:

This command is completely optional if you are already connected to Microsoft Graph and other services using Connect-MgGraph with the required scopes.