We had a large, wicked one growing near the sidewalk when we lived in AZ. One day when I came home for lunch and managed to impale my knee on one thorn. It was agonizing for a week or so. I learned to nip the thorns off in self defense.
It wouldn't be the first time I was wrong but if I recall, I read the telltale imprint of the leaves on the Agave are indicative on A. Americana? ( if I recall ) I noticed yours shows those imprints, Louise.