Is embroidery an application option yet, I see there are few that say embroidered design but not sure if this is just a print effect

We are currently testing embroidery but only for very few selected products and for a different business unit than the Marketplace and the Shops. We’ll keep you up to date should this printing method be one day available to our partners. This won’t happen any time soon though.

I can suggest a place where they offer both embroidery and digitizing services. Scroll through this page https://apexembdesigns.com/cuttables/cuttables for printable and cuttable designs.

Yes, you can add embroidery designs on our shirts, caps etc whether embroidering for your own or for professional use. Most of the websites are offering embroidery and digitizing services. Might they help you.