I will reinstall adobe’s crap to read your PDF. Do you believe the Sun does not heat the Earth?
Yes, the sun varies and heat the earth more up through the 80's That heated the oceans which kept heating the atmosphere through the 90's. That was the main reason for the rise during that interval. But CO2 was the second reason and CO2 has been steadily rising the atmosphere mostly independent of ocean temperatures. IOW, when we get La Nina and cooler ocean temperatures on average, we still get a rise in atmospheric CO2 although less of one. But we also get less of a rise in CO2 during recession e.g. in 2008. So we really do control CO2 in the atmosphere
Another thing to consider is that the ocean absorbs the CO2 efficiently enough that once we stop producing CO2 (when we develop sufficient technology like nuclear fusion energy), the atmospheric levels will drop within decades (less than 40 years to get half way back to preindustrial).