I mean, assuming the sprint was reasonable, 2-4 weeks, then I am pretty sure you described an agile workflow, you delivered quickly, showed it to the customer and got fast feedback on what’s wrong.

Ofc it could be that those were things that could have been caught earlier by asking some questions of the customer, but without that information I would say your description of what happened matches agile.

Let’s not tell them that by definition both a shopping list and a recipe are algorithms.

I have learned it for a few years as 5th language