My cats' self-filling water bowl has started getting dirty rather quickly since we got a new kitten (who's now about 6 months old). There's quite often a bit of cat litter at the bottom of the bowl, so I assume that she's been washing her paws in it after using the litter box.
She seems to otherwise have the normal feline aversion to getting wet in any way, so it's odd to me that she'd be intentionally doing it. Is there anything I can do to break her of this habit? Should I just get rid of the self-filling bowl since I need to empty and wash it every day anyway?