I wake up and my dog is with a rabbit in her mouth

So I wake up and my dog is laying on the back patio covered in dirt with a rabbit in her mouth.
The rabbit’s not bloody, just dirty.
I know my neighbors raise and care for rabbits so
I immediately picked the rabbit up and brought it to my sink quickly before my neighbors came home and cleaned it off.
It was stiff and not moving but I know some animals play dead when they are scared I just didnt know which ones.
I put the clean rabbit back in my neighbors rabbit cage with the rest of them and went back inside my house.
Not 30 minutes later I hear my neighbors screaming
so I go out and asked them what’s wrong?
They tell me their rabbit died 3 days ago and they buried it but now it’s back in there cage