Hi there! This was quite fun. I finished in under 100 turns, and developed every technology (but didn't use most of the advanced buildings). Btw, since the "buy" button is grey is kinda looks like something you wouldn't be able to click on.
It took me much longer--167 months--but I think that might be because you were right to not use the advanced buildings. I kept trying to buy them, but they seem to cost more in resources used than they really provide, and I ended up having to destroy them again and rebuild them much later. (A level-two farm produces something like twice as much food as a first-level farm, but uses up way more than twice as much water, plus it uses energy, IIRC.) Still, all in all it was fun.