Please verify the log file size on the production server. It is probably 2TB. Maybe at some point it grew. So, even if it is empty bow because of log backup, it’s still a 2TB file on disk, and you will need to have that space available for the physical file on the new server.

If your test server is VM, you could add large disk and restore the log file there and shrink it after restore. Then move the log to a smaller disk and remove the large disk.

Other option is to shrink log file before full backup, if you’re sure that it does not need to be 2TB.