The task nobody wants should not always belong to the person least comfortable refusing.

Unpleasant jobs find the same hands over and over, and the selection is rarely deliberate. It works by silence: someone asks, several people wait, and the person with the least practice at saying no fills the gap. Everyone else experiences this as the task being handled.

If you run anything shared, rotate the worst job on a schedule rather than an appeal. If you are the one who always ends up with it, let the next silence last. And if someone else fills every gap, take one from them unasked.