What's the largest number you can represent with 3 digits? Nope. It's not 999.
. . . done right.
Always stand up for a child when they are right. Never back down from this kind of a fight if you are right. Once a concession is offered, especially when offered to allow the other party to save face, if declined, that offer should never be returned to the table. Be magnanimous in success, you've been here before. Teach you children ethics, morals, honor, and honesty, demand they achieve, and practice these ideals. Demand those in authority over your children meet these ideals as well.