Auto-accept Jamf wants to control System Events?

This post may be helpful to you:

https://community.jamf.com/t5/jamf-pro/terminal-wants-access-to-control-system-events/m-p/292509

The PPPC utility would enable you to get the info you need to create a profile with a PPPC payload to allow the Jamf agent to do what you need without showing a pop-up message to be allowed to do it. Here's the code requirement: 

For Identifier you could use the path: /usr/local/jamf/bin/jamf

For the app or service, I'm not sure exactly what type of event to allow but it's something that would be easy to play with and figure it out. I'm surprised that you're getting the alert since implementing Jamf Connect generates the needed profiles, at least it did when I deployed it 2 years ago. I no longer work with Jamf Connect. Things may have changed since then.

Yes you can but it will make you work for it...

A whitelisting of permission needs to be granted to the binary (Jamf in your case) using a Privacy Preference Policy Control profile, to whatever action it is trying to accomplish.

Find the responsible app;
- If you can make the popup occur, run this in terminal before you do, come back with the results;