It won't fizzle out, that's the problem. There's no maximum GHG dose atmosphere can't take. And the planet has been hotter in the past too.
The thing is, there were no humans at the time and life was a bit different.
We're talking some 50 year timespan to terrible effects, that means most everyone here will be affected. They may be affected more or less. Current trajectory is on more, bordering on deadly. The time for low impact has passed, thanks to people like you dismissing actual scientists as alarmist. We've known this for 40+ years now. It's become public knowledge at least 25 years ago.
The climate system has a lot of inertia, century scale at times, once pushed too hard humanity might not be able to stop it, no matter what we do.