Came across your answer while perusing for a different answer but here it is.
Note that if you have a hard drive failure or cannot run LightBurn on the old machine for some reason, we can deactivate the old machine for you - contact us via email - support@lightburnsoftware.com
Thank you, Scott! Sounds like there’s not a way to do it without contacting support. I just hate bugging them about it. My replacement laptop won’t be here for a few weeks so I’ll do it then.