I don't love having an Engineer title but it's the reality of the workplace in the US at least. Software Engineer and related are very, very common. Now even some colleges and universities have degrees in Software Engineering.
> The application of mathematics and the physical sciences to the needs of humanity and the development of technology
The Wikipedia article for Engineer[2] further drives it home:
> The work of engineers forms the link between scientific discoveries and their subsequent applications to human and business needs and quality of life.
And that's what I do: I take the field I studied (Computer Science) and I apply the knowledge and discoveries of that field¹ towards the needs of humanity, i.e., I engineer. (Typically, and it is somewhat expected, I engineer software. Not always, ofc.)
People get hung up on that "PE" is a specific term of art in some jurisdictions and some fields, with a correspondingly more narrow definition.
[1]: https://en.wiktionary.org/wiki/engineering
[2]: https://en.wikipedia.org/wiki/Engineer
¹or, well, some of us do. The profession these days seems to have a real problem with knowledge.