Amazingly, I completed Titan Hard Mode in a PUG! Finally. It took around three weeks of trying. I stubbornly refused to use the Party Finder because, since I had spent so much time attempting it in a PUG, I wanted to finish it in a PUG. I don’t know why. It doesn’t make much sense. :)
So I finally got my Relic Weapon. And I upgraded it, too. Yay.