The bottleneck of the schedule would be units from Tours and Lyons. You need to switch the build to treb immediately and whip them so that we can have 4 trebs 5 turns later, and a pike plus a LB 6 turns later, even so, some of the units can't arrive in time. LB and pike is for city defense, so they can be delayed a little bit. You need to produce at least 10 galleons in 6 turns.
Ram completed Eng in 8 turns, Phi in 5 turns (was shown 6 turns in the beginning) and started Nat on T160(I saw it on T161), that's why I estimated that he is able to finish Nat sooner that what's shown now. We'll waste some cash for earlier troops, but will gain a lot more if the Ram complete Nat faster. Moreover, it's not absolutely we need to wait Nat, as I mentioned earlier, Ram will still be friendly with us after the war to offer the trade.
About missionaries, we should keep producing CM whenever there's spot, Ram can only send 3~4 missionaries at the most and we have more cities in need of them, moreover, some CMs for oversea AIs.
Some micro notes:
Send the warriors in Tolo and Bib to new captured cities and send more warriors from home cities down south.
GP should get the CI promotion and Med I next, it's intended for a super medic unit.
Let all the chariots and some healthy units to pillage all the cottages since we want to them to be farm and WS. (hamlets can be kept)
As I mentioned previously, a cottage in of Paris is not worked due to your hiring more specialists in Mars.