It's an understandable mistake to make; culturally an engineer is defined by the building of physical objects that have extremely high reliability expectations. But "engineer" originally referred to someone who used their ingenuity to build or do things in a manner not routine or primarily physical [1]. Basically an inventor who produced. The main engineering accreditation body in the United States adds the requirement of a professional education, but it is more or less the same [2].

We're engineers.

1. https://en.wikipedia.org/wiki/Engineer#Definition

2. https://www.abet.org/accreditation/accreditation-criteria/cr...