Not really possible short of giving them credentials and license in that tenant.
https://learn.microsoft.com/en-us/microsoft-365/admin/email/about-shared-mailboxes?view=o365-worldwide
User permissions: You need to give users permissions (membership) to use the shared mailbox. Only people inside your organization can use a shared mailbox.
External users: You can't give people outside your business (such as people with a Gmail account) access to your shared mailbox. If you want to do this, consider creating a group for Outlook instead. To learn more, see Create a Microsoft 365 group in the admin center.
The only avail "sharing" and collaboration methods that are supported are listed here:
https://learn.microsoft.com/en-us/office365/enterprise/office-365-inter-tenant-collaboration