Pretty weird to say the show maintain lore in some way, (and the lack of evidence is not evidence by itself) but like i said i stand corrected on that part
And the reason of why there is 3 make no sense, it came out of nowhere to give her the spotlight as the reason of why there is 3 rings, its the problem of the rings of the elves coming first, when they are supposed to be done in secret later, it was forced and didn't had any build up of why they should make 3 and not just stop doing it at all.As for "bad guy want to make two? lets make three!!" is only an issue if you already know about the One Ring (which of course the characters don't know about yet). Based on what Galadriel knows at this time, Sauron was looking to make the two rings to empower himself and Galadriel if she came to his side. With his plans revealed and his offer refused, it makes sense for for the rings to be made to use AGAINST Sauron and Galadriel explains why three is better than two for keeping a balance of power between the ring bearers.
The whole deal about her being suspicious is also forced to happen, with Celebrimbor repeating words Adar said, but she immediately think on Hallbland, and finding Halbland information with a vulcan elf that there wasn't a king in the southlands in 200 years, but the people there and in numenor didn't had that bit of info.
It was not good to find that bit of info before, but now it is. And you still say there is no problem in the writing and its just nitpicking from us, despite they taking even more time to doa second season because of how massive the clusterfuck was.