In the past I've just called myself a full-stack designer (+/- extra words like UI/UX or developer) or some variant thereof. The hiring process isn't really aligned to finding such folks though for sure. Neither are internal progression systems at some companies.

My first internship was as a designer, then I freelanced for them as a dev, then when I graduated and it came time to join full-time, I was asked to pick one track or the other. :)