Migration path for migrating Group mailboxes

Anyone familiar or experienced in migrating M365 Groups from tenant to tenant. We have CodeTwo licenses but CodeTwo does not do Group mailbox migrations. Alternative tools we looked at are MigrationWiz from Bittitan and Kernel migration. However, we aren't sure how effective these tools are when it comes down to Group mailboxes in particular. One thing we have noticed that these tools need really high privileges such as Global admin and do not support MFA for group mailbox migrations.

Would appreciate any comments from someone who has been through a similar migration and the tools they used?