According to the Catholic Church, is Jesus '**a man**' properly speaking, or it is more correct to say He has a human nature while not being a man?

For example, would it be true to say "Jesus **is a man**"? Or would that rather be false, while it would be true to say "Jesus **has a human nature**" or "Jesus **is fully man**" or just "Jesus **is man**" or something similar?

What is the Catholic Church's view on this?