This should be easy and I've probably just been staring at it too long. I'm getting #Unparseable.
=COUNTIF([1 Weeks Tasks]@row = 1), AND(OR([Task Owner]@row = "CopyeditAMT@nwea.org", ([Task Owner]@row = "PadletAMT@nwea.org", ([Task Owner]@row = "LayoutAMT@nwea.org", ([Task Owner]@row= "AMT Distribution List")))))
This variation didn't work either. No #Unparseable error but it's not counting correctly.
=COUNTIF([1 Weeks Tasks]@row = 1, AND(OR(@cell = "CopyeditAMT@nwea.org", @cell = "PadletAMT@nwea.org", @cell = "LayoutAMT@nwea.org", @cell = "AMT Distribution List")))