Proper way to order 'Carne Asada' from a deli?

I just moved from San Diego, CA to New Jersey and am craving carne asada really bad!

I live right next to a deli in a super market and am wondering if I could be order it from there?

If so, I’m 99% sure they won’t know what Carne Asada is, what would be another way of ordering it.

My best explanation is “Paper thin Beef”, but I want to make sure I get the right stuff.

Thanks in advance!