Pinch the dog's mouth: it means that you want to subdue it and protect yourself.
Dreaming of hitting a dog with a stone: it is generally a manifestation of emotional catharsis, such as anger, which also means that you are strong.
Dog owner: A person who represents a partner.
Dreaming of fighting with dog owners: representing competition or inner conflict.
Generally speaking, your dream is an expression of emotional catharsis. Good luck!
I give you the answer because I know nothing about your recent situation and experience, so it is difficult to interpret dreams carefully. Talking too much is easy to make mistakes, and I often feel that I am wasting my energy and time. Sometimes, a long answer is not as good as others' answers in a few words!