Wow! I never knew that these even existed!

(And perhaps that answers one of your questions?)
Sometimes spin-offs and side-products, even from popular brands, go unnoticed if they don't overlap with the "main" product line. In this case, perhaps electronic pets weren't a good match for a fashion-doll brand?
Unfortunately we don't allow sales or trades here, as it has caused trouble in the past. However, there are virtual pet sales platforms/groups out there - I haven't used them myself, but hopefully other members who have experience of them will be able to point you in the right direction.
Thank you so much for letting me know!
I have no idea which countries they were even released in- I’m from the UK and I’m pretty sure they were sold in Argos, not sure about anywhere else. As far as I know they tied into their ‘Tokyo-a-go-go’ line of Bratz, which I don’t think was super popular to begin with
A lot of popular brands/franchises/movies have had virtual pet tie-ins - there's even a Batman Giga Pet! Or the one that was made to promote the Golden Compass movie from 2007. Pre-2010's it seems like virtual pets were viewed as disposable toys or weren't taken as seriously as more "collectable" toys like action figures and dolls. Because of this there's a lot of virtual pets that have fallen to obscurity - things are a lot different now in terms of archiving and collecting virtual pets, but there's still many out there that are relatively unknown. It's also possible when people read the phrase "bratz virtual buddiez" they confuse it with the Miuchiz tie-in with the brand, which was a similar product.
I'm sorry to hear that you couldn't find your Virtual Buddiez. I did some searching of my own and couldn't find anything about it - the image you posted in this thread was one of the first results on Google Images! Your best luck is to follow the Bratz Virtual Buddiez search on Ebay and similar websites. (Etsy occasionally has decent deals on virtual pets, but sadly they do not have one of these Bratz V-Pets there currently).
If you don't mind me asking, what do you remember of this pet? I've never came across one of these before.
Oh wow, a Batman virtual pet? That sounds awesome! I wonder what it was like. I’m even more surprised about the Golden Compass, very random!
I’ve definitely come across their ‘Muchiez’ virtual pets a few times on eBay, they seem to be a lot less rare than the Bratz Botz

I’ve got saved searches on EBay, but I didn’t think to check Etsy- thank you so much for the suggestion!
I remember more than anything that Rem-ie was very difficult to take care of

I have a V2 Tamagotchi and I’m pretty sure he was even more difficult than that.
I don’t remember much about the minigames that it claims to include, but I remember that in order to entertain him, there was a little record player he’d do a little dance to, and it would play the tune of Camptown Races, it was pretty cute

you’d have to feed him, and clean up his poop and whatnot like a tamagotchi, and you could connect to other Virtual Buddiez, which I assume would be similar to linking tamas, but I didn’t know anyone else who had one.
Physical-wise, he had a keychain clip on the back of him that I used to clip to the zipper of my hoodie when I was a kid and carry him around everywhere. He also had a pretty simple plastic tail that would rotate in a circular motion, and all-in-all he was pretty sturdy!