I’ve never dealt with it, but if the intention is just to call that on save, it should be straight forward (assuming there are no repercussions for calling it when unneeded - for example, user clicks save multiple times)
//on save (get this even either from the toolclick or by after adapter method Update
Find the guid of the button.
var myButton = (EpiButton)csm.GetNativeControlReference(“The guid here”);
myButton.PerformClick();