DRM for e-ink Kindles is based on the serial number of the device and not the customer account. So for any hope of recovery of those files you should make a note of the serial number of your Kindle while it is still functional. Be especially careful of look-alike characters such as "0" and "O".
One slight piece of good news is that your book backups will always be usable on that Kindle as long as it functions. Even if you register it to a different Amazon account at some point you will still be able to copy those books back via USB and have them be readable.
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