Don't try d/ling the site; you'll only get your ip banned that way. It's no longer a collection of static html files (like it was in the early years) any more, anyway. Everything is stored in database tables, as it should be.

Btw, HTTrack is truly ancient software, useful perhaps at a time when most websites consisted of static html files, but not today.

I happen to have one external SSD, I thought that maybe there might be enough space to save this site

Depends on how big that SSD is. Way back when I was still involved with running the site a database dump wasn't that big -- professionally I work with much larger databases. Still, many SSDs are smaller.