Any suggestions on how to keep mice from chewing on leather?

Lately, I’ve been noticing that our saddles and leather straps out in the barn have sections of them that have been eaten by mice.
I didn’t know mice even fancied leather.

I’m anti-trap/poison, so I don’t mind the mice being around. I’m just not a fan of what they do to our saddles. The saddles and all their straps are on saddle racks and covered up, so nothing is touching the ground or hanging except for the stirrups. Which I can’t do anything about without warping the positioning.

Is there anything I can put on the leather to make it less appealing for them, but without killing the mice? Or ruining the leather.