I’m not sure if I fully understand the ask because you seem to answer the question in the first post but then ask a question that contradicts that in the second post.
Again, they key parts to determining whether or not LightBurn can be made to work on ChromeOS running on a Chromebook or otherwise is whether or not that version is current enough to allow running Linux app and whether or not the device is x64.
What model Chromebook do you have? That will clarify some of this?
I believe there are at least a couple of folks in this forum using Chromebooks with LightBurn. @dkj4linux comes to mind.
Read a post on recent break fix that was made to his computer to get LightBurn to work: