>>11138358This happened in the geological history of the Earth before when billions of tons of carbon got pumped into the air during the Eocene thermal maximum. The source was either incredible amounts of forest fires, extremely unlikely as there would be telltale signs of this such as vast swaths of ash, or more probably, a coal seam got hit with regional volcanism.
The rate was much slower than what is being burned today but life survived so a scenario where Earth becomes uninhabitable is extremely unlikely. We just need to look at the Eocene thermal maximum to get an idea of what Earth will be like.
All life moved to the poles as the tropics became an unlivable dead zone.