I mean... You're not wrong. Earth will be fine. It's already had global heating cycles beyond the scale of what we're looking at.
The small, teensy, insignificant problem is that the last time it happened was one of the Great Extinction events that wiped out most live on the planet.
And the heating also happened about 100-1000× more slowly, iirc—over the timescale of millennia, not decades.
But life will survive. And new species will eventually evolve to fill the sparsely populated planet left behind by the disaster.
The Great Filter is coming for us.