It looks as if you're picking up the FabDesktopWebUsers role for the desktops folder.
It is not listed but I assume that role doesn't hold the "Move VirtualMachine.Inventory.Move" privilege.
And afaik vSphere uses the principle of least privilege, in other words if you're a member of 2 groups you will get the most restrictive privilege.
Can you try removing your account from the principal (security group FAB\DL_VM_VI...) ?
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