“Man is a creature composed of body and soul, made to the image and likeness of God.”
And spirit, too! Don’t forget the spirit!
“Now may the God of peace himself sanctify you completely, and may your whole spirit and soul and body be kept blameless at the coming of our Lord Jesus Christ.” — 1 Thessalonians 5:23
That’s a point. I think the spirit to which St. Paul is referring is the spirit of God in us, rather than something intrinsic to humanity. (If someone wants to disagree, I’ll just throw up my hands and say, “Whatever.” ;-)
Anyway, although we have a spiritual life, if we have God’s life in us, we are not spiritual beings, as the angels are.