Maybe have a look at the Curta for inspiration of a mechanical calculator. There's a 3D printable version of it.
https://www.youtube.com/watch?v=j9uRckJLqLk https://wudev.digitaltorque.com/articles/curta-1/
https://www.youtube.com/watch?v=j9uRckJLqLk https://wudev.digitaltorque.com/articles/curta-1/