I have a dragon!
It was pretty easy to get, but it wasn't inevitable. You need the last technology in the "Civilization" branch of the tree and you need to have an empty dragon lair inside your territory. It basically comes down to luck and once you get one, it's a game-changer.
Fallen Enchantress dragons aren't invincible, but they do have as many hit points as a full military unit by themselves and at the beginning of each battle they hit the entire opposing force with a fear effect that paralyzes enemy units until they manage to resist and they have an AoE breath weapon that can one-shot virtually everything in the game (actually, up to nine such "virtually anythings" to be precise).
The biggest drawback is that once you get a dragon, it completely deforms your entire combat strategy around it. Now, instead of my champions going after the enemy with sword and spell, they instead use their powers to buff the dragon so it can solo all of the opponents. Having a hasted, giant-form, stone-skinned dragon tends to make the battles pretty one-sided. It's not very heroic, but it works.
The other unfortunate part of getting a dragon is that by the time it happens, it is almost trivial to win with the Wonder victory. That's more of a general balance problem, though. You get the necessary tech way too early and the four magical towers you have to build only take a few turns. It's the easiest way to end the game and short-circuits so much content that I usually disable it at the start of the game (but it's been such a long time since I've played that I forgot this time).
I don't really have an objective for the next eight hours. This really is a less polished version of a game I played to 100% completion so I'm in this awkward position where I want to explore, but I know that there's a bunch of cool stuff I couldn't possibly find until I play the expansion. I think I'm just going to have ignore those feelings until my time is up and then forget about this game forever.