If the State does not euthanize it after a bite, they could be found liable if someone gets bitten again. There’s also the question of rabies, the detection of which requires examination of the brain tissue.
Except house cats, of course. Somehow we've bred them to attack us with impunity.
I startled a cat I had when it was sitting in the window getting worked up about a cat outside and it turned on me with all it's murderous power, clawing my shins pretty bad.
I picked it up and put it in the basement.