Varying available statuses by group, for the same object

I can't work out how to show different statuses to different groups for the same object - eg a project.

As a project moves through different stages, we want to allow different user groups to be able to change the status - but only to statuses visible to that group.

eg - to trigger an action in FUSION - that only that group can decide is appropriate.

All I can find is that groups can be assigned to an object - and then the statuses available to that group will be available.

Which means once I've assigned a project to a group - the statuses will apply to all groups seeing that project.

This seems VERY restrictive.

Has anyone managed to do something similar ?

maybe FUSION changing the group assigned to the project as it progress through the stages ?

Thanks in advance as always