You can be more specific with pkill by using sudo pkill -f 'jamf policy'
which will perform a (regexp) search for that string including the
space, which should help cover any edge cases we don't want to trample
on. And the sister command pgrep with s...
I just ran into this myself this last week when a call came in from a
professor in one of our largest Mac classrooms in a bit of a panic. I
went through a very similar troubleshooting/triaging procedure as
@srhyne but I have not found anything myself...