I’d want to see more effort put into determining the “heat level” of the globe. As it is, we have temperatures taken at or near surface level. And without reference to enthalpy (moist air? dry air?) That can hide a lot of features.
And what model do you use? Certainly not the ideal gas law. Maybe a form of it but an overly simplistic version of it that will introduce huge amounts of error.
And what as about temperature and matter concentration gradients laterally and via altitude. How do you model that? And ground formations like mountains and surface water.
Then there is the sun, the proximity of the earth to the sun, gravity, internal processes inside the earth. And what about plants that consume co2?
It is a massive feed back and feed forward system with hundreds of valuables and nonlinear equations describing it but only approximately. Crudely.
No, modeling the earths climate is massively complex and beyond our capabilities.