Remember the most important thing to do when the Houthis announced they're gonna choke trade through the red sea unless a cease fire in Gaza was declared is to intensify and heighten conflict in the red sea.
Sure, the Saudis mightve bombed them for a decade already with the Houthis winning, sure they were basically acting as a cats paw for the US and using US bombs, and sure the Houthis mightve already proven they'll stop with a ceasefire because they did so during the last ceasefire. But all that together means, just keep bombing and ignore diplomacy as an option