One must imagine a world in which the character of Sauron is still canonically Tevildo, the evil black cat and still infiltrates Eregion.
He walks through the open doors of Eregion with ease and no one stops him because he is a cat and cats are always places they are not supposed to be. He presents himself to Celeabrimbor who is so entranced by his cuteness that he immediately adopts him into the Mirdain. Tevildo manipulates his way into Celebrimbor's bed, cuddling up at his feet and purring but also takes up the entire bed so Celebrimbor is practically falling off the fucking bed (which cats do, let me tell you from experience).
Tevildo manipulates Celebrimbor into making the rings by whining and crying and screaming at all hours of the night and not shutting the fuck up until at like 4 am Celebrimbor exhaustedly and complaining the entire time that he just wants to sleep makes them and then goes back to bed.
Tevildo steals the rings and drops them in his food bowl for safekeeping, where Celebrimbor, with a beleagured sigh, fishes them out and then meticulously cleans them up. Tevildo is SHOCKED shocked! That Celebrmbor figured out his hiding place.
Tevildo proceeds to torture Celebrimbor by scratching his arm and yowling all night until he gives Tevildo back his rings which Celebrimbor shruggingly decides to allow him to keep for his toys.
Tevildo smugly thinks to himself, indeed! I am the Lord of the Rings and Celebrimbor gets him a cute little red collar and everyone scritches evil Tevildo behind the ears.