Turn 5: 1475
Build an Islamic Monastery in Hattusas, for the same reason as the Jewish Monastery in Sur.
Turn 6: 1480
Netherlands vassalize to China.
Get a Great Prophet in Luxor. All shrines have been built except for the Church of Nativity! Christian Holy City is Pompeii. This should be captured from the independents and we should build the Church of the Nativity there.
Increase science slider to 70% to shave one turn off Liberalism. Stability is now Solid after building a few courthouses and making some peace. Begin pillaging some Ethiopian cottages. Upgrade Trebuchets in Sur to Cannons in preparation for the assault on Arabia.
Turn 7: 1485
Discover Liberalism. Choose Constitution as free tech. Switch to Representation and Mercantilism (1 turn of anarchy).
Ethiopia invades with 2x War elephants, 1x Catapult and 1x Trebuchet. Our Egyptian units are 2x Knights, 2x Longbows, 1x Janissary and 1x Pikeman. Should be OK.
Turn 8: 1490
Rush Taj Mahal in Diraq, will complete next turn. Would like to increase culture from this city to flip Pompeii and gain the Christian Holy City.
Science slider back to 50% to get our economy out of deficit, but research rate is still 5 turns for Economics now that we have all those specialists working for us. Once we capture a few holy cities (Jerusalem, Mecca and Pompeii), we should be able to turn up the science slider a bit more again. Our upcoming Golden Age will also help (obviously!).
Kill a couple of Ethiopian units and they sue for peace (+60 Gold and +2 GPT). Arabia is the focus, not Ethiopia. Open Borders with Ethiopia immediately. They may be a good choice for a civ to vassalize, as they have quite a number of cities down the coast of Africa already.