Disney doesn't make movies. They make cringe fan fiction.

Oh no, it's a ring dyad!

This is kind of the plot of the Shadow of War game, but that's just a non-cannon (I hope) video game, so it was fun

After first ring got destroyed the eruption of Mt. Doom was so loud that Sam and Frodo got tinnitus.

It rings in their ears constantly. Sauron will live on until hobbits find a cure or become deaf or until they both die.