Going for masonry slows down oracle times. It's pretty easy to build the oracle in the time it takes to tech writing from priesthood (or whatever).
Agreed on principle. What about this particular case, though ?
Animal Husbandry is likely required to feed the 2nd city (1NE of the western cows is a fine spot, grabbing the rice with the capital's border pop).
With that in mind,
Masonry -> Wheel -> AH -> Poly -> Priest seems perfectly functional to me.
You can grow to size 3 the turn the gold is improved so : improve corn, improve gold. At size 3, working gold, corn and a floodplains, you can still grow to 4 in 7 turns. Seems like a lot but it would take 14 working the corn, gold and an improved Ivory. So you're probably best growing to size 4 before stagnating your city again : better grow now than later, when the cost will be higher.
Growing to 4 also gives time to build a few warriors and road to the 2nd site.
What's indeed interesting is that the capital has excellent production capabilities. It could build the Oracle in about 10 turns without marble.
However, maybe one would be better served with Pottery / BW than with Masonry.
Chop is limited : 6 forests in the cap and no large forest cluster close by.
Whip : it will be hard already to grow the cap past size 4-5 (without working farmed floodplains/building a granary). No early whip seems desirable to me.
Regarding Pottery :
Capital has a very high happy cap (7!) and not enough food to work all it's production tiles with only the corn and
cottaged floodplains.
However, it has 6 riverside cottageable tiles. A case should be made in favour of early Pottery. Early Pottery + Bronze supports the better REx but limits the Oracle/Masonry options
Another case that could be made :
Save your chops for the Temple of Artemis and enjoy the awesome GP burst (insert Worker/Settler after the Oracle ; maybe finish the ToA with a settler's whip overflow... aka do your best to expand nonetheless. You'll likely get a few priests over the course of the game but it isn't as bad some fear.
There is no clear relation such as : getting better GPs > getting more GPs.
Farming/Mining all over Berlin and spamming wonders there is very appealing. Following the earlier techpath with Writing -> Bronze could make that happen.
Well, that's all very hypothetical as it doesn't say anything about the Oracle's tech target.
Bulbing Mathematics... I'm not sure you need to do that. Getting to War Elephants requires about the same work as getting to Currency + Aesthetics, just slightly less. Is it worth it ? You won't bulb maths easily with only 1 food special ; probably requires a different techpath, something like AH -> Writing -> Something.
Is a rush sensible ? Maybe... there doesn't seem to be that many spots to expand peacefully (little food & AIs met very early). Need to know more before deciding.