LightBurn doesn’t run natively on ARM processors.
You may be able to use similar techniques to what I did to get LightBurn working on Raspberry Pi to get this to work. It’s not for the faint of heart, however, unless you’re already familiar with some of the concepts involved.
If you upgrade to an Ubuntu 20.04 based Jetson release you may be able to use the Pi solution as-is but I haven’t tested for it. In fact, you may be able to eliminate many of the included libraries since you’d be running against the expected Ubuntu libraries.