@stols001 sounds like your planned response is the best. Reminds me of my favorite motivational speaker of all time, Roger Mellot. He said 'don't engage with the devil' meaning, people who just want to win. Don't waste your energy on those types, 'let them win sooner'. Just agree with them instead of getting into defensive/explaining mode which they won't hear anyway. I will never forget his example: a supervisor is ragging on a staff about why she didn't do ____. He says just say, " you would like for me to do ____? I will do that as soon as someone calls. Supervisor cannot argue further with it.
His talks and 'cassette tapes' were on topics such as 'stress management for women'.
Here is a yt seminar: