You should always save your purchase emails, especially when there is download links in them. And because losing the registration number is NOT an option, especially since you need it for support, is the reason why I print them out. I also save a copy in a document file, that I store alongside the ISO file, which I save on my NAS storage.
Also, in the future, when it comes to moving and packing boxes for the move, its prudent to put stuff like computer stuff in a box and label it computer stuff. This way there is no question as to where your flash drive is, you will know, cause you know what box you packed it in.
Anyways, good luck to you! And, I am really excited by the fact you got a Framework Notebook, I am super stoked about that. I am really hoping that you bless us with delicious content on that puppy.