I implore you to read about the origins of the word computer and who those people were and what they did. Also just in general about the Analytical Engine, Babbage, and Lovelace.
I'm quite familiar with them. But the colloquial term "computer" isn't the same as the historical term, and that's the point here. We aren't talking about the job, or a design that wasn't implemented, or a mechanical computer because nobody means that when they say "computer".
https://en.wikipedia.org/wiki/Computer#Etymology
https://en.wikipedia.org/wiki/Computer_(job_description)
https://en.wikipedia.org/wiki/Computer#First_computing_devic...
https://en.wikipedia.org/wiki/Computer_program#Analytical_En...