is there any built-in service in webMethods Integration Server that can keep a count of how many times a particular flow service is executed?
as this information can be seen in the IS Admin UI, there is a service existing to retrieve and format this data.
But this is not neccessarily a public one, more likely this will be an internal one.
You can try to explore WmRoot and/or WmPublic package for such a service.
wm.server.query:getAllServiceStats service in wMRoot
Have you got this?