Apologies if this question has been asked before- even as a native English speaker, I'm not sure how to word the grammar behind it.
I came across something a friend (who is not a native English speaker) wrote, but I wasn't sure if I should have corrected her. She wrote something about "people like me who want to be an engineer". I believe that she should have written "people like me who want to be engineers", since the subject is people, but I can also see the argument for the other phrase, since each individual person wants to be an engineer, not multiple engineers. Which is correct?