I'll agree with the rest of the group on this particular situation. With the circumnstances of the game at that point, it's probably not worth it to toss the coach.
However, had this been a closer, better played contest, the coach gets a
maximum one warning. After that, the next time they start in on the strike zone, adios!
Generally, I allow some chirping about the strike zone, particularly on close pitches or if I am struggling with the zone myself (yes, it has happened!

). If the chirping becomes contant or if it becomes loud and boisterous - then I address it.