We are at a critical juncture. A decision needs to be made right now. Do we go Pots or BW first?
It's a trade-off between less cottages but more muture vs more cottages but less mature.
A fast 2nd city can lead to the earlier 3rd and 4th. Considering the f/h/c output, the 2nd can get returned in 17 turns; the 3rd 25 turns, the 4th 33 turns. (roughly)
If we set a line at T60, the power of the 3rd and the 4th has not been fully revealed for Louis. Therefore, the comparison is between the rate of return between the 2nd city and the cottage.
My estimate on delaying 1 turn of the 2nd city is about 20 f/h/c at turn 60, and 1 turn of cottage is 2~3 commerce. However, BW first can save only 2 turns while Pottery first can save 14 turns for 1 cottage. Therefore, BW first can win by 5~12 f/h/c, at the expense of 1 more tree (20h)
Yes, you can say that 1 tree can be chopped with 10 more hammers after maths. However, because of the compound effect, 10 hammer at turn 100 is just eaqual to 5 hammer at turn 70 and 2.5 hammer at turn 40, if the total outpt doubles every 30 turns.
If we only want to win the Oracle at turn 60, we can skip AH, the investment of 100+beaker can only grant us 1~2 f/h/c each turn compared with cottaging it.
OK, let me wrap up here. Since we cannot benefit from the 3rd city by the T60 deadline, BW first is a bit weaker than pottery first. In the same time, I think we can skip AH. The conclusion is also dependant on the assumption that we may lose the Oracle if we cannot finish by T60.