One big random advantage Europeans had was the alphabet. When books were all written by hand, it didn’t matter much is you used an alphabet like the Europeans or logograms like the Chinese. But it’s a lot easier to print books when you’re using an alphabet.
So when the printing process was invented, it worked a lot better in Europe. Which meant Europeans where able to publish more books and disseminate more information.
It wasn’t just one event that propelled the Europeans to global conquest.
It was all sorts of sets of seemingly unrelated lines of dominoes.
One key event was the fall of Constantinople in 1453 which disrupted trade to the East. (Which was preceded by the Byzantines failing so badly at almost everything for at least 700 years.) And on and on.
But sooner or later one culture was going to have all the right tools at the right time to just take off. Turned out to be the Europeans. Maybe I’ll write a book about it. Give it a catchy title like Guns, Germs and Steel.