The first owner of that ring is someone that is accursed.
And that curse stays on. One could even say it was destiny that guided Azief to find that ring. That is something that Loki could not change. In that timeline and in this timeline, Azief still arrive at the Seresian world and get that ring.
It is all connected when one thinks about it.
If Azief did not go to the Seresian world, he would not lead a trail of energy for the demonic soldiers to follow and the destruction of the world during the Multiversal Convergence might not be as bad as it is now
But there is no use crying over spilt milk.
Because he was present during that final battle. Though, he wonders whether Number two knows or not about this memory.
Sometimes, even he himself could not know what the other Loki remembers and not remembers. This is intentional on his part.
He sighed each time he thinks of the Ten Eternal Rings