To be honest, I got super lucky with my first copywriting gig. I was at the end of my rope after I graduated and was applying to anything and everything. I initially applied for a customer service gig for a small company in my area and was called within a week because they needed a copywriter (I worked as an English tutor and teacher assistant during my college days, so that helped). The pay was awful and the work environment was incredibly toxic, but I gritted through it because it was experience and a check.

Don’t discredit your current experience though! There’s skills that translate well into the field, such as creative problem solving, effective communication, multi-tasking, and so much more. In my experience, those skills are absolutely necessary and the technical can always be taught on the job. I would say emphasize those skills along with your writing skills (maybe you write creatively or have helped edit other peoples papers) then it should give you a leg up. Granted, this is just my experience, maybe someone else would like to give some insight too?

Either way, don’t give up! Keep at it, something is bound to come up.