Explanation :
1,2,3 : first, second, third city i would have taken.
F : Farm
C : Cottage
LOL : a cottage on a riverside hill (wtf?)
Tech Path : Farming -> BW -> Mysticism -> Masonry-> Poly-> Priesthood-> Writing-> Oracle maybe Alpha (then trade for older Techs like AH, Wheel,Pottery etc.) or smth. else like CoL.
The cows early only net you +2 hammers instead of a FP farm that gives +1 extra commerce, that way you speed up your early research rate. You can get some hammers soon from the copper and the riverside Grasshill NE the capital,+1 commerce too from that.
Everyone plays different and FP Cottages are very common but i think they are a mistake here, because of the limited food due to mapscript. In your capital you get + 5 Food (2 from cows, 1 from each FP cottage, that allows you to work 2-3 hills, if you instead farm the 3 FP you get +8 food, grow much faster (work 4-5 hills) and whip settler/workers. Of course you get some extra commerce but only +1 for the cottages and then +2 when they grow to hamlets. If you whip, you only grow back slow. No irrigated corn/wheat on this map. Means overall a capital with rather low pop, since there are phants, gold and gem nearby, happiness would allow growing early.
Meaning instead of slow CE, rather go for Wonder/Hammer economy. Run 2 Scientist in Capital after Library, then go back to building Research (from Alpha) with all those hills. Bonus of Hammer research also is that you can run your slider on 0% research and still get lots of Research/Turn while saving gold.
Also you started the cottages very late, after AH, Wheel, BW and even agriculture which basically means you abandon the FP for a long time which give
1 commerce/ 4 food if you start with farming. The extra +1 commerce from an early farm at FP speeds up your early research. Additional you researched farming but did not build a single farm. So basically wasted research points. Meanhwile your worker runs around making only roads and some mines after the early pasture. Meaning untill you got Pottery you either worked unimproved FP tiles or some grassland hill tiles.
If you get to BW after farming you have 2 FP farms, at size 3 chop/whip a worker grow back one size and chop/whip a settler at size 3 or 4. The extra food lets you grow back faster, work more mines and get some hammers into the Artemis Temple (failgold with 100% bonus hammers from marble) if you are lucky you get it which nets you an early GP togeteher with the oracle (Bulbing some nice techs). As soon as you get Priesthood start the oracle, finish Artemis Temple later.
With early acces to marble (even without roads) and so many forests to chop there is no real excuse not to try for the Oracle/Artemis Temple. Even on Deity, at least you get failgold.
If you would have settled your first city (Haryharalaya) 2 tiles west on the river you get +2 commerce from traderoutes (cuz of river; the same commerce of your cottages early), in addition to extra health bonus and the Horses. Allows you to share some improved tiles from capital too, maybe a FP farm to grow faster. Cap meanwhile builds wonders and grabs a hill. Another bonus: even more river tiles.
Second settled city would have secured the phants and another 2 FP, also grab some land before Sitting Bull or Wang can steal it. Share tiles from Capital too like the copper.
Third city (Angkor Thom) was rather poorly placed too, you got the fish, but settling 2 tiles to the north would have secured another 3 FP, this time for cottages.
Not to mention the 4 turns for the worker to build a cottage on the NE hill, still only a cottage at 675 B.C.
If you compare that to my approach admittedly only on Immortal not on deity. Already got Aesthetics (Oracle), selfteched Literature and traded Alpha with another Civ that got it. 850 B.C., building the Pantheon and GL.
I think biggest mistake was not to farm the FP tiles. Crippling your Capital Growth for a few extra coins of commerce. Also not building a quarry on the marble (it is a good tile with 1 food / 3 hammer / 3 commerce) why not
use it? If you farm the FP you can use this tile and get the same commerce as from a FP hamlet and get + 3 hammers. For more commerce you had to grow the cottages to villages for 30 turns (10 turns cottage/ 20 turns hamlet)