Engraving then cutting around imported image

I have imported an image which I want to engrave and then cut around, but once engraved I can’t get it to cut around the outer shape. It just cuts the whole thing. Is there a way to isolate just the outside for cutting? I cannot ungroup it as it’s all one image. I believe there’s a way to create an identical outline around the image but I cannot find out how to do this. Appreciate any help. Thanks.

Without the specific image I can offer some general guidance.

Look at using Trace Image. Tweak settings until you can get a trace that follows the outer shape of the portion of the image you’re interested in. Manually adjust as necessary.

Alternatively, you could freehand draw a line that goes around the shape that you want.