Move VM to another node with different storage name

Hi,

I have a new server, bigger, better, more disk space.
I have a cluster with the old and new server.
Now I have to migrate the data of 1 VM on disk called "storage" to the new server where the disk is called "DATA".

How would I do this? If I try the normal right click option, it says "storage" does not exist on the new host.
So how can I tell the VM to move the data from "storage" to "DATA"?

Thanks!

EDIT: I wanted to add, making a backup and moving it then is no option, it's 4TB...

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