Is There Truly No Afterlife for a Dog's Soul

Hello, Rabbi.

I read a question that was asked about the soul of dogs in the world of truth, and I understood from your answer, in your own words, "the souls of animals are nullified and disappear; they have no continuity whatsoever" - and from this I asked: if it is said that sometimes a human soul is reincarnated into an animal, what does that actually mean? That after it was reincarnated, it evaporated?? Does this soul have no eternal life (since it was a person before)? And what about all the animals mentioned in the Song of Creation; when arriving to Gan Eden, does the rooster here in this world only crow in this world and not in the higher world? And if they are here and then disappear immediately, what is the purpose? There are so many stories about a cat, etc., that was reincarnated from a human soul for whom Kaddish was not said, etc. - what about the human soul?? Needless to say, I have had a dog for 12 years (even before the answer), and in recent years she has merited to hear words of holiness with me (through Hidabroot, among other things). There was once when I brought her with me to Jerusalem, my mother asked that she stay in the room, and I saw that she became sad. That night I dreamed that she was speaking to me in my language; I do not remember what she apparently said, but I do remember that I apologized from the depths of my soul and asked her forgiveness. 

I would appreciate your response