"Never" is a long time. I haven't intentionally watched Tipping Point but I gather it's related to a coin-pusher arcade game.
There being a finite number of coins, there is a finite number of possible arrangements so there is a nonzero probability of any outcome being replicated.
" We also do not know for sure whether the planet will really stop warming at net zero CO₂ emissions. On average, evidence from climate models tends to suggest it will, but some models show substantial warming continuing for decades after net zero is reached. If further warming after net zero is the case, the budget would be further reduced."
well, one thing, what it will take for nature to take over. We don't know that one, and won't know, until it is too late. It will be the statistics that informs us.
that's another thing we don't use, a precautionary principle. We haven't needed it before, as long as we still was a part of this Earth system, it compensated for us, and has kept doing it as we got more and more disconnected. But there's a limit to it.
And 2040, assuming business as usual, we should have passed it.
We need to sort it out, and we need to do it fast, where f.ex one kid per family is something you can decide, not your government, assorted decision and other profit makers. We need to rejoin natures schemes for keeping this earth viable and breathing, for all living things. Because no matter how we behave, and no matter what we think of ourselves, we're not existing in isolation. We used to be a integrated part of Earth's recycling, and we need to get back to it.
It was quite different some hundred of years ago, before our industrial revolution, nuclear power, chemicals, industrial farming practices and modern medicine, etc etc. It's not the industrial revolution that is at fault here though, just the way we used, and use, it.