In all seriousness though, we should try to make friends with the dragon.
We even have a few options. Anton is one, of course. Asarnil would be reasonable as well. But my favorite would be Dragomas, the Supreme Patriarch. Now, getting him would be difficult, but I do think it would be possible. Worst comes to worst, we could burn our Great Deed on it, though I believe Favor+Belegar should swing it. Because having another friendly emperor dragon around is a big deal. It might be cheaper if we can establish the initial contact ourself, thought that would also be the part that we want him most for.
I can actually see both the Protector and the Deceiver being really useful. If we can do something to protect the dragon (even if it's fairly minor), then that means it'll start much more positively inclined. And with the deceiver we could convince him that we're actually playing straight ("We don't plan to attack you", after having formed a contingency, something like that. It would take a bit of setup, but it can work). Also, polyglot potentially being surprisingly useful, once again.
I'm not sure how keen Belegar would be to use the Empire's solution (give it the treasury). But given the Spider Silk, there'll be a ton of money coming in. Even a part of that would be significant, and it means the hoard is going to be growing. Not to mention, dwarfs are good for making more precious items, and so are wizards (Every hoard needs some enchanted items, don't you know, and there happens to be an enchanter of potentially great skill around). And it doesn't have to worry about thieves with dwarven architecture. Since that's also it's bedroom, it would be doubly effective, because the most vulnerable time is mitigated. Also, we can offer better food. And hell, some intelligent conversation. Dragon's don't seem to require social interaction like other sentients, but I imagine it would be nice, and they can definitely bond with someone (and perhaps they do need it, which is why the wild dragons are all aggressive and crazy, unlike the Imperial Dragon or the elven ones. They got people to talk to).
What does that mean for the reconquest?
The dragon means that we don't have to worry much about that front, because dragon. That makes it reasonable to mark that peak off. I'd say the troll peak is something that can be taken with relatively few complications. Not without blood, but it would be more a question of careful work and deliberate work. It's basically perfect for the dwarfen approach. So that makes two makes two peaks that could be plausibly taken within a few turns.
I'd say the last greenskin bastion is another that's ripe. Now, one should never underestimate Greenskins, but they are vulnerable to getting Mathilde'd, and lack reinforcement. At the very least, I believe Matty can keep them at each others throat.
Next, mystery death mountain. We need to figure that out (and Belegar might assign it to us because it's weird). Still, I'd say tentatively that it's a problem that can be solved by wizarding.
So we have another four mountains that can make reasonably soft targets, if the dwarfs can spare the attention. The Eshin mountain is maybe the hardest, because it's one whole thing, so they'll be pretty hard to push out (and the thread is kinda scared by rat assassins). But I believe there's a solution to that: Dragons. We have the potential to drop two, maybe three, with luck four dragons (Deathfang, Ice Friend, Imperial, Dragomas) on them, which should be enough to savage their base troops that they just can't hold on. We'd have to call in some favors, but between mercenaries, other dwarf holds, and some strings pulled with the empire to get some "volunteers", I think kicking the Skaven out in a single massive push is possible. If we can get them to ramp up the fighting beforehand so they're exhausting, it becomes much easier. If the Horned Rat suppresses the fighting again, it'll be much harder, and much less feasible. (Though taking advantage of the inevitable resentment would still be possible.)
In conclusion, the reconquest of Karags Eight Peak within our lifetime is fully possible, and it starts with the power of friendship (with dragons).
And dammit, I want to ride that dragon (not that way). Shadow Wizard and Light Dragon is a great combination, and don't you know that opposites attract (not that way)? And when we'll have our own college, we'll make the dragon the head of the Hysh department, and it'll be great, and our Light wizards will be much better than those other light wizards, because they'll be inspired by his prowess (not that way).
We already had one long relationship with a light and mirror associated magic reptile (ice can make mirrors, right), and that turned out great (though not that way, damn Boney for vetoing that option in the waifu vote). So I want to really to milk this one too (not that way). And we all know how Mathilde is with older, powerful men (not that way, well, not so far anyway) and women (notice who she reacted to the bursar).
EDIT: It posted an earlier version with some stuff missing. Dunno how that happened.