I guess you know what you are doing, and what you want to do. There is links to the domain, but it is nothing very spectacular, I would say, so you are not losing much. I think that you should be able to put all the content on a different domain, or even a subdomain, and redirect all the backlinks there, even something like old-domain.com/page-one, to new-domain.com/page-one. Or you can delete it all together, and go from there, too.
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