Push to start the starter not working?

It sounds like the starter may have gone out, but to be sure we need to see if the trigger wire for the starter is getting power when the button is pushed. Here is a guide to help you see what I am talking about, and I have included the starter wiring diagrams so you can see how the system works and how to change the starter out if the wire is getting power.

https://www.2carpros.com/articles/starter-not-working-repair

Please upload images of the aftermarket push button so I can see what's going on. Check out the images (below). Please let us know how it goes.

I see, yep the wire was broken off of the main power supply at the starter power lug, I would disconnect the battery and install a new eyelet and then reinstall it. That should fix the problem.