Cutting from lpeg

Not in LightBurn, because it does not have center-line tracing.
You can make a bank shot off Inkscape or another graphics program with center-line tracing, export into SVG, then import into LightBurn.
You could try applying an outward kerf to the double-traced pieces, thus moving the cuts closer to the midline, then let LightBurn’s optimizer remove overlapping lines. It wouldn’t be perfect, but might be Close Enough™ to work.