I followed the plan I laid out (and wrote about a while ago), and won just 68 turns after finishing communism. Some major aspects of my strategy that shaved off a few more turns near the end:
-Followed tech path of AL -> electricity -> railroad -> indust -> plastics -> superconductors -> fusion -> rocketry -> composites -> genetics -> ecology
-Stacked production modifiers, including Ironworks and a temporary coal plant in Bibracte, my highest hammer city, to 6-turn Three Gorges Dam and 4-turn the stasis chamber
-Prebuilt observatories and labs.
-Made sure to generate just enough GP to get that 4th and final golden age after fusion.
-Maximized overflow for 2-turn SS life support in another high production city.
-Built Broadway so I could counter the motherland anger + losing fur/ivory.
-Got biology from Sally, steel/artillery/medicine from Mansa.
-Built Wall Street in the city with the Buddhist shrone and Oxford in the most heavily-cottaged city (which happened to be the Buddhist holy city too).
-To avoid tripping the domination limit, has to liberate some of my conquests. Also gave most of the conquered Incan lands to Stalin. Think of it as a loan; someday after the game ends, I'll be taking those back...
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All this culminated in an extremely speedy victory, even for such relatively good of a map as this.
The former Celtic lands contributing my biggest research and production cities (Vienne and Bibracte, respectively):
HE city, crucial for pumping out cuirs/cavs during the era of conquest
The other former capitals were no slouches either, as was my own (hilariously Ulundi popped a second copper on a PH mine...a few turns before I won, hence the strange double-copper; it was ultimately inconsequential but aesthetically pleasant and thematically appropriate, considering my capital had a total of 5 strong mining/masonry resources after that.
Then as promised I completely trashed Stalin with modern armor, took back the cities I "liberated", and beat him to within an inch of his life before accepting peace in return for a snow village I planted as a gift, as well as democracy (oh, the irony, especially seeing as I gave Stalin
communism quite a bit ago).