This was my first xOTM in a long time, and ended up being a very enjoyable game. Thanks to the map maker and xOTM staff!
I played an almost entirely peaceful game, focusing on tech, wonders, and trading with all the Mansas. The only war was very short -- less than 10 turns -- when Mansa VIII declared on me in 1200 AD due to my very low power rating (about 1/2 his). But I had foreseen the war and had a few up to date units on hand, and the English were not very serious about the war. They sent a lone catapult (killed by my knight) and a lone pikeman (killed by my mace), then offered peace.

I considered continuing the fight to claim Mansa VIII's land, but decided I was better off staying peaceful. I was worried that had been a mistake when oil was revealed to be two tiles inside English culture, but I ended up not needing it thankfully.
I wonder spammed in my capital (settled SE) using Bureaucracy hammers and ended up with 14 world wonders there, plus Oxford, NE, Apollo, and lots of SS parts. My second city at the gems/stone site built 4 more world wonders, plus Manhatten (for fun on the last turn before the space ship arrived) and lots of SS parts. My Ironworks went here. The mass of flood plains ESE of the start was my third city, which ended up as cottage cheese for massive commerce and eventually tons of hammers with dike and US towns. Confucian shrine, Wall Street, Mining Inc HQ, and Sid's Sushi HQ all were here, funding most of my empire. The city was producing over 600 gpt at the end at 100% science. The Confucian shrine was up to 58 gpt by the end, as I spread the faith to all AIs and they then spread it far and wide for the AP boosts. I kept the corporations to myself, as many of the AI had more resources than I did.
I tried to tech deep into sections of the tree and then trade to backfill, and it worked very well. I am not even sure how many techs I got in trade -- 25+ in total. The Mansas did a good job teching, so I was still getting useful techs quite late: Lasers was the last after the ship launched, but I got Fission, Combustion, Artillery, and Flight from the AIs.
I started really pulling away from the AIs around 1300 AD with a pair of Maussolos-boosted golden ages (the second from Taj), so I think peace was the right choice. I was able to get all the later wonders and "first to" bonuses, and used the various Hit resources to trade for more fuel for Mining Inc and Sushi which really helped my 11 cities. Several AI had more cities (Mali had 20) but mine were better.

Two more extra-long golden ages late boosted the final space ship push, and I launched with 1 turn of golden age left so I was pretty pleased with the timing. I was producing just over 4000 bpt at the end, with positive cash flow at 100% science.
Space Race victory, 1814 AD.
I did get a 12th city after the ship launched when Oxford flipped to me, giving me control over the oil. Not that I needed it by that point.

Five turns before my space ship reached Alpha Centauri the AIs -- who had been peaceful all game -- went nuts. Mansa Musa I of Mali declared on Monsazuma, which triggered defensive pacts from Mansa Caesar and the American Mansa. Mansagowa was vassal to Mali so he was in the mix. A turn later Mansa Khan and Mansa VIII joined the fun. Great generals were popping up all around the globe.

I just watched the chaos and waited for my ship to arrive, while turning down 6 (!) different requests to join the fighting over the last two turns.

Peace was the way. My total losses from the final statistics screen were 2 warriors (lost early to barbs) and 1 caravel (picked off by a privateer).
A very fun game, and a great concept.