I don't think I have an answer but all I can say are 2 things....and they seem to always work.
1. Always take the high road. It's the best one.
2. Don't argue with supervisors. You never win even if you think you do.
Just take my words on those 2 things. They are true and good advice.
regards
ps....I want to add that I haven't always followed my own rules but have learned over time.