mason jar soap dispenser - multiple thread patterns avail

Mason jar soap dispenser. My co worker wanted me to remake his mason jar soap dispenser.

update: confirmed working, however obviously not all soap dispensers are the same.
update: added another style dispenser, will continue to update as i acquire more

This thing was made with Tinkercad. Edit it online https://www.tinkercad.com/things/2DVpr92wJC4