The fastest way to end a family fight is to be the first one who stops keeping score.

Most household arguments are not really about the current item. They are about an accumulated ledger: who did the dishes last, who got away with what, who apologised last. As long as both people are totalling, the fight has no end condition. Somebody has to put the ledger down, and whoever does it first looks like the loser and has simply stopped paying.

Pick the running total you are keeping on somebody at home and stop adding to it. Do the thing that is not your turn, once, and say nothing about it. Notice how much of it was the counting.