It's not good to dream that other dogs bite. If you dream of being bitten by a dog, you will be attacked by your enemy or seriously ill. And you beat the dog in your dream, which indicates that you will doubt the people who are loyal to you because of your mistakes.
However, the dog didn't bite you, and you didn't hit the dog. Let's just say that dreams are warning you. This event has not yet occurred. So be careful.