I'm so sorry you've had to go through this.
How sad all the way around.

I wish my neighbor would keep their cat inside so it would stop peeing on my firewood that I burn IN MY HOUSE!!!!!
My dogs have almost caught it twice, and like yours, my dogs have a Veeeery high prey drive and are not wanting to play with the kitty.
It will kill me to see that, but I'm quite sure it will happen one day.