The second is:
Pursuing dreams is very common, which reflects that dreamers want to escape and get rid of some realistic pressures, and often repeat this dream, highlighting the sense of depression.
Dogs in dreams usually represent close relatives such as partners and friends, even the dreamer himself, or some kind of relationship, especially interpersonal relationship.
Apart from the above symbolic possibilities, whenever you are faced with something that scares you, you will be chased by a bad dog to show that you are afraid of running away.
There is also: dreaming of being chased and bitten by a dog will lead to disaster. This kind of dream interpretation is an evil spirit.