TLDR: Patch crushed hopes. T44 - 30 (28) LPs = 14 (16) Turns.
Well, I kinda messed up the last age progression but I still hoped for sub 30 before I read patch notes. Production (and gold) cost of Factories, Railroads and Ports more than doubled. Techs and civis in modern cost +25% more

I had 4-5 cities with ~150 prod relatively quickly as I beelined prod buildings (military academy) and fascism but any of the 3 buildings would take at least 7-8 turns. It was quite slow almost funny haha.
And: I don't know what they wanted to change with coal and oil, but either resource just didn't have an impact - which is also hard to say because the game wont show hammers needed

.
Think the time is ok considering that, have to finish next GOTM faster
T1: Legacies: Science Golden Age, Culture from Relics (+40), 2x Militaristic, 1 Expanionist, 1 Diplo, 1 Economic + Resource Gold (not great), 1 scientific point.
I used one of the wildcard points from last age for +1 pop to all. Converted 4 towns to cities for 300g each after. Huaiyang became Beijing and my new capital.
T2: 22/21 but some of my cities are super-unhappy. Probably because of specialists but game won't tell me. Got my towns new resources by leapfrogging some and made them food towns again.
Was considering Factory towns but not sure about the value, I have 6 factory resources in meaningful amounts. Declared on Augustus right away.
T15: Political Theory. Starting Fascism for the Specialist hammer buff. Razed Augustus' island town and now waiting for ideology to take more.
T17: Mass Production, starting first Factory. Cities except Cap are still building Railroads.
T19: Fascism done for specialist production, first Factory done (bought).
T24: Railroads and Factories take a really long time to build now. Ports, too. Buying them out after a few turns of hammers. Globalist elite incoming for the +1 resource. Realizing I needed Urbanization earlier.
T30: 169 TP. Still buying railroads factories and ports every turn where needed to slot more.
Oxford gamble turned into a fail as I completed Electricity Mastery the same turn and it just completed this again and Mass Production, essentially wasting my turn of science. Seems weird that "free techs" are applied to BEFORE science progress per turn but okay. Won't be able to grab that one science legacy point now.
T37: Banker appears.
T44: Victory. I didn't manage to kill Xerxes in time (dunno why I waited to declare earlier).
Not sure I needed the GA universities, when I could have just spent more gold on railroads/factories/ports and my science was so boosted already. Also underestimated the patch changes a bit.
Also quite bad to not spent all the gold and influence before age transition. However, in modern age I should also been more focused when trying to connect railroad cities (bought in certain towns to connect, but sometimes redundantly).
Overbuilding is superbugged, sadly. You get the +30% (from policy) when you start, but if you remove it from queue you will lose it. Usually a 2-3 turns difference. Why'd you remove from queue anyways? To check the remaining cost to rush-buy, which is not shown otherwise...
I also encountered a bugged CS, tried to befriend him but it wasnt meant to be: