Transfer Parallels Desktop 15 to New Mac Prior to Upgrade?

I've got a permanent license for Parallels desktop 15 that I'm running on an old Intel-based MacBook Pro circa 2015.
I just got a new Mac mini and wondering if it's possible to transfer the license to my new machine before upgrading to the latest version of Parallels.
Or, asked another way, is there a way to buy the Parallels upgrade for my new machine and get rid of Parallels on my old machine?
 
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