Very interesting finding on page 10 where they identify 4° global heating as a special limit. Below 4° plants can adapt or migrate. When you go above 4°, it's so different that plants have to evolve into new kinds of plants.
I think one way to read this paper was that in the PETM event, this tipping point was breached and the biosphere was no longer able to sequester carbon (big plant die off) and so the hysteresis of the climate system basically broke. And then it takes 75,000 years or something for new plants to evolve and reset the system.
I think the latest estimates put 2° at 2050 and +0.27 per decade at current rates assuming no new tipping points. Meaning 4°would be coming no later than year 2130.