I’m not sure if rclone copy teamdrive: drive: will do a server side copy or not - I think it won’t as the remote names are different. It may be possible to make it work somehow, though there is a limit on that maybe 100GB / day?
After a week of running rclone move we just gave up and switched on regular backup sync over the Christmas break. Everything was backed up by the time we got back haha
rclone move did seem to do a server side move (I think) and definitely worked, but ran into the rate limit a few times