Global population stopped accelerating (had an inflection point, or: the "second derivative" went from a positive to a negative value) in the early 1960's. And so, overall population growth has been slowing ever since. It's difficult to say if or when population will reach a new, lower carrying capacity.

It's curious that population growth peaked in most Axis countries before Allied ones in WW2. It would make sense if each country's values were more aligned with others in their faction.

Another inflection point could arguably be the year in which global fertility levels reach less than replacement level. Technically the global population can keep growing after that point, just by people living longer, but if life expectancy starts reverting to the mean then birth rates will have already past the threshold for decreasing global population. Here's what a recent Economist article says:

"The world’s fertility rate, which stood at 3.5 births per woman in the mid-1980s, fell to just 2.4 in 2019. Indeed it is possible, given observed declines in rich-world births during the pandemic, that covid-19 may have pushed the world as a whole within sight of a replacement-level fertility rate, if only temporarily."

https://www.economist.com/finance-and-economics/2021/12/11/w...