"The captain wears a coat."
Translation:Ο καπετάνιος φοράει ένα παλτό.
In common speech I never heard anyone say φοραει ενα παλτο.
all I have ever heard is φοραει παλτο.
Although I was born and raised in New York I was raised in a Greek family and we spoke Greek at home and I lived and studied in Athens for several years.
I noticed you are teaching people to use ενα before the noun when the sentence in English asks to translate " a Noun " coat hat dog or whatever. That is not how people speak though.