SAVE: 650AD
preturn: Physics in 1, Smith's in 3, Copernicus in 8, very good!
I switch rax in Chinje to settler and rush it.
IBT: Maya demands Chemistry, I decline, he declares! Physics->ToG. Chinje settler->rax. This settler is going to ride on a galley and send to the English island SE to us - there is an unclaimed iron.
(1)560AD: lux to 0. Sci to 60, ToG due in 8. I sell Economics to Greece for 1227g+34gpt (full price), and now we can raise sci to 100 and get ToG in 5 turns. Eco to Hitties for Music Theory and 64g (all his gold). I then give Eco to America for MA+39g, to England for MA, but I leave China alone as I want Maya to buy it against us.

Smith's due in 2, but I think it's safe. MM Taejon to max shields to get Aqueduct in 8 turns instead of 12, while it's pop is already 6 and will grow in 2 turns.
IBT Taegu worker->worker, MM to get in 3. America builds JS Bach's - wow, they could have completed Smith's. Maya completes Copernicus.
(2)570AD: Switch Copernicus to Leo. Worker actions.
IBT Hitties request Physics, I refuse. He declares!
We complete Smith's, and unexpectedly, we enter our golden age!
Maya drops a pike and a JT next to Taejon. Unfurtunately we only have a horse nearby so it will pillage for a couple of turns before our knights come to rescue.
(3)580AD: I upgrade a horse to knight. Lower sci to 70, ToG still in 3.
I sell Physics to Greece for Metallury+81gpt - full price. I should probably have done so last turn. Greece has Mil Tradition.
Now we are able to build Hwacha's!
IBT Maya JT kills a reg warrior. Paegam University->Hwach'a.
(4)590AD: movement.
IBT 3hp JT attacks vet horse in Taejon, loses by 1hp! reg pike moves to mountain instead of pillaging the cattle tile. I'll leave it there.
(5)600AD: I sell Music Theory to China for 12g+worker.
IBT ToG->Magnetism. Seoul University->Hwach'a. America starts Shakespear.
(6)610AD: We actually can build Leo in 6 turns, and Newton in 9 turns with the Palace prebuild. I decide to go this way, as nobody knows ToG so no fear for cascade. Only Greece may know ToG in the near future, but he is building Leo in a size-6 city. Let's try to get both.
Greece and America have Navigation.
Some American MDIs enter our land, but I think they are going after the lone pike that Maya dropped in our territory.
We can research Magnetism in 4 turns with 80% sci.
IBT Pusan University->bank. Taejon Aqueduct->market. Haeju market->university. Greece starts Shakespear.
(7)620AD: Greece knows ToG now! Wow this guy is fast. Maya captured Liverpool.
WM+26g to America for TM. WM+24g to Greece for TM. America is building Leo in NY which is size 7. So looks like we are really safe for getting the two wonders.
IBT Seoul Hwa->bank. Cheju bank->knight. Usan bank->Hwa. Paegam Hwa->market. Kaesong university->Aqueduct.
Greece starts Newton's.
(8)630AD: zzz
IBT America starts Magellan's.
(9)640AD: Bombard and kill the Mayan pike.
IBT We enter Industrial Ages the first! And get Medicine.

Set to Steam Power due in 6 with 90 sci. American troops withdraw.
Wonsan Bank->knight. Sariwon market->Aqueduct. I switch Cheju from knight to galleon.
(10)650AD: Maya agrees to talk and he has Navigation but lacks Physics. No thanks for now. Greece still has Monopoly on Military Tradition and wouldn't trade it with Magnesitm. Fine.
Summary: We'll have Leo in 2 and Newton in 5. After Leo we can upgrade most units. Most of our core cities are finishing infra and will start military soon.
I have't traded for World Map yet but I did buy TM from America and Greece.
We are at war with Maya and Hitties. I suggest making peace with Hitties as soon as he would talk, and focus on Maya.
Next we should send some knights/Hwach'a to take over Liverpool. There is a pike/settler pair in the galley to settle next to Reading to take the iron as shown in the below picture.
Good luck!