About 200 years ago, humans invented walking, talking robots. They were joyful at first, and even helpful. As time went on, these robots became more and more intelligent…until one day they turned on humans. Millions of people were injured, and even killed in the attacks, but after years of battles, humans destroyed every robot in the world. The next decade was robotless…until one man got an idea. He thought that instead of humanoid robots, people could model them after animals. That idea was a hit. Scientists worked tirelessly to make this idea come to life. Why? No one really knows, but after 28 years of trial and error…it was born. A smart animal robot. It was a dog named June. After June’s incredible fame, people developed more, and more of these creatures. All other robots were still illegal because of the attacks. Now every rich or famous person had a robotic animal. After that, these robots became available to everyone.
Now, whenever a human is born, they are assigned a robotic animal. They live and die with that robot, and they love that robot. No matter what.
So, there's not really anything super wrong about this. My only thing about it (which this may just be because i have no idea what the premise of your story is) that prologues usually hint a lot toward the plot of the story, which don't get me wrong, it seems like this does, but it just seems like a small part. But like i said, i have no idea what your story is about. Also, i have a little note, after these attacks by the humanoid robots, you'd think that people would be terrified of any kind of robot. It just doesn't make much sense to me.
I'm sorry this isn't super helpful. I'm honestly not super great with prologues since i myself prefer not to write them (so my little notes might not make any sense at all). I work a lot better when there's more information. But it's really good and i can assume that it helps explain certain aspects of your story :)
All you're really doing here is just telling the reader about the world and, not to be blunt, but that's not how you write a prologue. Most of this information can probably be brought up at some point in the story in a way that's more interesting and organic rather than just throwing it all at us at once.
Also, ellipses… should be used…. sparingly… or else they lose their effect. I know you've only used them twice here which maybe doesn't seem like a lot but it kind of is a lot considering it's only a single paragraph (and that's not even taking into account anything else that you may have written for this story). They're not even really needed where you've used them. I honestly only use them in dialogue.