I'm pretty sure the last chapter revealed that he was still alive. It feels weird that one dragon isn't going to have enough skill to end the curse of another though. So despite the fact I'm not a fan of Urgas, if he ends the curse of the ML's family doesn't that mean there's a way for someone who uses the power of the ancestor dragon of the ML's family directly to erase her family's curse? Like if she asks the dragon to reverse time to the point where the curse fell on the ML's bloodline I think there is going to be a chance for it to be undone. Plus it makes no sense that she's going to where Urgas is to ask him to turn back time to before Enoch's dwath when he isn't currently dead and it doesn't look like he's going to be what with his promise to not, and Juliette's brother's refusal to let him, give up his heart to her again.
ever since i caught up to this again i think about the fact he’s trying his best to not die and it’s sad to think “its his only option” but there has to be a way where the dragon who regressed her is also alive too and hopefully it can cure her and end the curse.