I've been thinking a lot about this lately because of one extremely famous and moderately difficult game called Elden Ring. Without spoilers there was a moment at the end of the game where I just stopped and looked around asking my self "was this even worth it?" (And that's not even the first time From Soft has done that. Stop playing with my emotions!)
In essence, my endgame for Kyyrk is to have him answer that very question. Was it all worth it? As some of the folks reading this may know, Kyyrk was a Sith in the days before Chaos, and as such did some rather heinous things. But unlike most Sith, his intentions were noble. Didn't make living with it any easier, but he did what he had to do for the sake of the galaxy. And now, in light of recent events, he's wandering the galaxy trying to find the answer to that question. The Force is calling him to a virtually insurmountable task, the kind that gets the word "destiny" thrown around. And it's up to him to figure out if it's worth it.
Like
Darth Metus
said in his post, Kyyrk is also haunted by an abysmal family life, and is hopeful that one day he can make things right. But at the same time, he's gripped by the fear that events of the past will continually repeat themselves. He struggles with what he wants, versus what The Force wants for him. I won't go into detail for sake of spoilers, but Kyyrk's endgame is to one day be able to say "yes, it was all worth it." And, like other people have observed, Chaos is akin to Star Trek. The adventures only end when contracts are up or the writers go home. So while Kyyrk will likely not have the moment of finality he deserves on Chaos, at some point I'll probably write the director's cut of his story, and allow his story to end when and where it makes sense.