LightBurn-Ready SVG Correction

I have an SVG design that looks fine in vector editors but, once imported into LightBurn, every path defaults to a single mode—nothing is separated for cutting or engraving. I need the file rebuilt so LightBurn immediately recognises two distinct operations:

• clean cut lines for every outline that should pass through the material
• engrave-only lines limited to the filled or shaded areas of the artwork

Please preserve the overall dimensions and visual appearance; only the layer assignments and stroke / fill settings need adjustment. Deliver the corrected SVG (and, if you prefer, an optional LightBurn .lbrn file) that opens without errors and already has the two layers assigned and colour-coded. I’ll run a quick preview in LightBurn to confirm the cut layer is a single continuous path and the engrave layer rasterises just the shaded regions.