That is a large number of questions!
I still feel myself more of an amateur player than the rest of the team, but I'll write what I feel is appropriate.
Thank you for the analysis. This seems to mean one thing, something we've basically been screaming about since the beging, more workers...
I'm not quite sure the connection between my discussion about trade routes and this desperate need for more workers... I assume you are referring to the vast cottaging that will happen very soon?
Do we have a city ready to build statue of liberty?
We are approx 9 turns from Democracy if we head straight for it now. Yaso will likely be mid way through Oxford at this point. So perhaps put it in Ulundi (our second largest producer). With the engineer rushing it it shouldn't take more than 3 or 4 turns. I wouldn't delay to research Astro.
how fast will we be working how many cottages?
I guess as fast as possible.? We may not need emancipation immediately until we have a bunch of cottages built already. So I guess we could save the Golden Age and revolution until a few turns after Democracy. Perhaps 5 turns before we learn Economics, since we will want a 2nd revolution to Free Market at that point.
would it be better to research astro before pp? what about before demo?
I think Demo first. The SoL is worth more than earlier astronomy. In the meantime we could build more harbours to make best use of astronomy when it comes around.
Heck how many workers do we have exactly? how many do we need? and how do we plan to get them?
We have exactly 9 workers - for 17 cities. Admittedly a poor ratio. There is substantial cottaging to be done everywhere except Ulundi (I assume keep the farms for running specialists) and Yaso (already has them). Another 7 or 8 would be nice.
uMgung and AWat can start building them after they've finished their universities (2 and 4 turns). Ulundi could start buildnig them right now, as the courthouse isn't as important. kwaDukuza shouldn't be building a University - switch it to Workers.
What are we going to invade joao with? how much troops do we need exactly? when do we need them and how are we going to get them? how are they in priorities compared to workers?
Maces, Trebs and Knights I would assume. Perhaps put Guilds sooner in the tech path, eg, before astro, after Demo. I don't see any large rush to kill of Joao other than to do it while we have a tech advantage over him. After the cities mentioned above have completed enough workers switch them to barracks/troops. Eventually get the whole empire switched after their current builds and building troops - we'll have a huge army in less than the time it takes to get to Astro.
I think workers are a higher priority than military.
What about multiplier buildings like markets/banks/observatories/universities, how does those multiplier buildings stack up against each other?
Depends on the specific city I guess. Our research slider is probably averaging out at 50%, but all of our specialists under representation are adding extra beakers. So I'd prioritise them just on the cost/benefit. Eg, libraries are a must because they're cheap, followed by harbour which adds raw commerce and is also cheap. Markets/Grocers/Universities are only really necessary in high commerce cities. Other cities are probably better off building forge/barracks/units.
It would be appropriate to go through all of the cities and label them as what their specialty is: Commerce or Production. Especially important for deciding whether to cottage or farm/mine. Use sign posts, so that subsequent players will also see them.
Why do you want to start another golden age so soon? Wouldn't it be better to wait until after we conquer joao at the very least? How do we control which GP's are used for the golden age? Is it even possible to do so? How will we get the needed GP's for the corps?
After democracy and the cottages are built we will want to switch to emancipation. Plus, come Economics (we want for free GM anyway) gives us Free Market = +1 trade routes. The golden age doesn't need to come too soon, eg, 5 or 6 turns before Economics. Although, a sooner golden age will get us to Economics sooner and the production will be useful for building units to kill Joao.
Controlling which GPs are used to trigger it is possible. Just make sure they are the only GPersons present on the tile of the one you have selected.
For the corps we need 2 scientists, 2 merchants, 2 engineers and 1 artist. We will get a free Merchant from Economics, a free scientist from Physics and a free spy from Communism.
We already have 1 artist, 1 engineer, 1 merchant and 1 scientist, and between Ulundi and Yaso it is realistic we will have another 3 or 4 within 60 turns. Total = 10 or 11. Burn 2 for Emancipation/Free Market GAge, another 3 for State Property leaves us 6.
Other decisions to make:
1) Do we hand build SoL or use an engineer for it. Using the engineer is probably very unwise now that I think about it.
2) Where do we stop. We can get Mass Media MUCH MUCH sooner than if we were to carry on after this. I don't think the other corporations are necessarily even worth it. Eg, researching biology -> medicine -> refreigeration will likely take us more than 5 turns each, hence sids sushi and cereals aren't worth it...
EDIT: cross post with Ronnie. I think we should really decide at which tech we stop the game. If it's quite soon (eg, Mass Media) then we need to get conquering much faster.