Can a rabies vaccine protect from a cat scratch disease?

Hello doctor,

I received three doses of the rabies vaccine and two booster doses three months after the main vaccine a few months back. After the booster shot, a cat scratched me, but the wound was the size of a dot and I do not even think there was any blood. The cat's behavior was very normal and it was seen three days after the scratch. Now, I have a few questions. I did not receive a booster vaccine for the cat scratch and the last vaccine was three months before the cat scratch. Do I need a booster vaccine again? How long will three doses of rabies vaccine and two booster doses with an interval of three months protect my body? Does the rabies vaccine completely destroy the rabies virus or deactivate it? Please help.