My Acmer P2 running Lightburn is cutting all wonky

Which means there’s still some mechanical looseness to be found.

Assuming those pictures are oriented the way they were made, then the machine has a millimeter or two of backlash in both the X and Y axes:

The test pattern I linked to has backlash test patterns in the corners. Run that, take a good picture of the results, and show us what’s happening.

Running that same pattern as you find and fix problems in the machinery will let you compare the before-and-after results whenever you change something.

Although the sellers don’t tell you this, part of owning a laser machine is learning how to maintain it. In this case, you must train your fingers to feel a tiny looseness, which takes practice.

Some previous discussions may suggest other places to look and feel for problems: