Hmm, I think the Lichee Pi image is almost guaranteed not to run on the BeagleV-Next, unfortunately. If you feel like creating a Frankenstein distro, I suppose you could leverage an existing/bootable kernel, etc, and swap out the rootfs with vanilla Debian.

I personally would expect Beagleboard to support Debian out-of-the-box, but it’s still a recent release, so time will tell. RobertCNelson usually curates the Debian distros. Maybe it’s worth reaching out to him on Beagleboard’s Discourse forum or (Slack or Discord, I haven’t kept up with it lately).