After the Baltic Power DLC, the mosque FI has been nerfed, but not killed. Below is the adapted guide. A wood treasure in base immensely helps. Having 3 herds close to the TC is also a plus.
Get to industrial and cheese the game with the ludicrous mosque techs from the ottomans. What you do after your initial push is up to you.
Perform a TP+mosque+house opening. As with every fast industrial, herd early as you will be surrendering map control for the next 10 minutes. Build the TP and the mosque first, then the house. Chop will but two yörük if there is not treasure. the house must be up before the first shipment is available.
The build can work with two different politicians. The click time to age 3 is very similar (~5'50").
Who to choose ? The quartermaster allows you to pivot to a "semi" if you spot a forward base. Build a military building and two houses upon ageing (forget about the TP and the market). You will be able to produce a full batch of whatever you need. This will massively delay the timing but you will stay alive. You cannot do such a pivot with the imam, but you are less exposed to harassment as you only have one TP outside your base instead of two. The imam will also help keeping your bombards alive later on.
Ship 700c as soon as you hit the 2nd age. Macro for 1200 food and 1000 coin. Then ship Palace Intrigue (the unique mosque tech card). You have a shipment available already and it shouldn't delay your fort in age 3.
In transition make sure you have the market and hunting dog research as well as 40 max population if not already (depends on the age 2 politician chosen). Mine 200 coins in transition as well (in case you need bashibozuk to defend your fort during its construction).
Ship the fort wagon. Build it to protect your hunts and mines. Keep gathering food as we need a lot for the industrial age. Ship 1000 coins as soon as possible. At that stage in the build you will have a major decision to make. This will influence the next steps of build order.
Regarding the timing of your age 4 push :
After the upcoming age 4 push do you plan to....
In transition research gangsaw then put all but one yörük on wood.
We still need to gather wood to pay for the new order infantry (nizam fusiliers tech) and this tech needs to finish before the 7th shipment (2 great bombards) arrives. If you aged up with the tycoon, collect the coin and buy wood at the market to spawn the nizam fusiliers faster. If you aged up with the vizier, delay the bombards to make sure you have your nizam out first. the last thing you want is leaving your bombards unprotected. Once you have the nizam, the bombards (and the sipahi depending on age ups), push. You want to fight to get XP. What you do next depends on the earlier choice :
WTF why 7 boyars instead of an Age 4 unit shipment ? Because the only age 4 "tempo" shipment that does not require population space is 9 Qizilbash. However, they are more specialised than boyars, have worse siege and getting 1000c is long. It's easier to go for an age 3 shipment with similar resource value (~1000 resources).
Good to see new builds after the update! With all the changes to Ottomans it's hard to know which of the old strats still work.