I scouted west, then moved my settler onto the hill. Build order was: Scout, Scout, (purchase worker), Settler, (purchase worker), Granary, (free settler), Great Library, Monument, National College.
When I saw that all three cities could build Observatories, I decided to focus my happiness on vertical growth. I didn't build or conquer any more cities for the rest of the game.
I did attack Belgrade to steal a couple workers and create a couple great generals.
Washington built Great Library, Hagia Sophia, Porcelain Tower.
New York built Hanging Gardens, Notre Dame.
I allied 6 city-states and unlocked Scholasticism while waiting for Porcelain Tower / Rationalism.
Catherine declared war on me, but I easily held the mountain chokepoints and took straight peace when she offered it.
I signed all 9 of my research agreements during the Renaissance. 3 were used to beeline for Public Schools, and the others were saved for Industrial/Modern techs.
I used two great scientists for Electricity, which bumped up the median tech and allowed me to clear Metallurgy -> Railroad in two RAs. Then I used my remaining scientists to unlock Rocketry on turn 172.
Free Tech Stats:
9 Research Agreements
6 GS from cities
1 GS from Porcelain Tower
1 GS from Hagai Sophia
1 GS from Liberty
1 from Oxford University
1 from Scientific Revolution (should have skipped Scholasticism to finish it faster!)
I also popped a final GS after the tech tree was done, and used him for a golden age.