Yeah, arvo = afternoon. Sorry, I try to avoid posting in Australian, sometimes I forget and/or don't notice.
We don't need irrigation to grow Mecca to 15, we do need to irrigate a little bit once we reach 15 to maximise shields. I chose to ignore Great Library as we simply don't need it, and it is too expensive for the 2 cpt it provides.
550BC: All good, change damascus to a pioneer for growth.
530BC: Mecca builds Library ---> Academy, cash rush part to complete in 1 turn
Medina Pioneer ---> Pikeman
Damascus Pioneer ---> Pikeman
510BC: Mecca builds Academy ----> Theater, cash rush part to complete in 1 turn
Most of the world now has Feudalism, I buy it from India for 11 gold, then sell Feudalism to Korea for Stirrup & Lateen Sail
Unfortunately Feudalism makes our worker housing expire, which was providing extra shields and a content face to Mecca. I cash rush another 10 shields to keep Theater completing in 1, and push lux to 20 to avoid disorder.
Set research to Engineering, it is most likely of the available techs for us to reach with a monopoly.
490BC: Mecca builds Theater ----> Wind Mill, cash rush part to complete in 1 turn
Basra founded ----> Peasant
Upgrade 1 worker
Kufah now has access to grassland & quicker growth, I change it to a Hardy Pioneer
470BC: Mecca builds Wind Mill ----> The Academy
Most of world has Scientific Method
Upgrade 5 workers
Khurasan founded -----> peasant
450BC: World has Monasticism & Crop Rotation
Upgrade 2 workers
430BC: Research Engineering ----> Castle Building. (After trades I was deciding between Scholasticism & Castle as to which had most chance of a monopoly, I guessed Castle)
World has Alchemy. Trade time.
We give Engineering to India for Alchemy, Crop Rotation & 180 gold
We give Engineering & Alchemy to Germany for Mounted Archery, Scientific Method, Monasticism & 5 gold
We give Engineering to England for 330 gold
We give Engineering to Japan for 300 gold
We give Engineering to Korea for 300 gold.
Net result, we have gained 5 techs and 1115 gold. I love monopolies.
410BC: Baghdad builds Hardy Pioneer ---->Pikeman
World has Heraldry, I buy Heraldry & 18 gold off the Sioux for Alchemy.
Upgrade 1 worker.
England has a warrior and a longbow at our borders, they might be invading
IBT: Nope, they were just exploring, they have moved away
390BC: Mecca builds The Academy ----> Arena, cash rush part to complete in 1 turn
World has Usury
IBT: England builds the Pyramids
370BC: Research Castle Building ----> Scholasticism (aiming for Copernicus' Observatory and our GA)
Mecca builds Arena ----> Town Clock, cash rush part to complete in 1 turn
Medina builds Pikeman ---->Pikeman
Rest of the world has Castle Building too, I guessed wrong.

Mecca has an Arena now, I set lux back to 10
IBT: England extort 33 gold
350BC: Mecca builds Town Clock ----> Leonardo's Workshop (as a Copernicus prebuild. 640 shields for Copernicus will complete in 8 or 9 turns, we should do the research in 6 to 8.)
Oops, didn't check Medina when I set the lux back, it is in disorder.
Ansar founded ----> Forge
Upgrade 2 workers.
The only culture building we now have available is philosopher's school, which is only 1 cpt and expires as soon as we change govt again, so it's fairly pointless. We currently have a base shields of 31 in Mecca, with 125% bonus making 69spt. We grow to size 15 in 3 turns, we will obtain maximum shields by irrigating 3 tiles and mining both mountains, that will produce 45 food and a base shields of 40, with the bonus leaving us on 90spt. When we hit our GA the base will increase by 13-16 depending what gets irrigated, which will put us over 120spt. Mecca is now at 25cpt.