Don't get me wrong, I think carbon emissions matter but primarily because we should simply do better if we can. But I've never found a study that proves causation, at best its correlation shown primarily through modeling.
That doesn't mean we should stop trying to reduce carbon emissions, but it does mean that reducing carbon specifically isn't guaranteed to reduce or reverse climate change.
Surely you must agree thst such a complex system as the global climate can't be driven by a single factor, or a single element on the periodic table.
As I said, have a conversation with a top AI model and try to convince it that there is no evidence of causation between CO2 and climate change. AI is better than me or any other human at pushing back and presenting the right arguments and evidence for a specific line of questioning.
Modelling studies can never prove likely causation, at best they prove likely correlation. Meaning, two things seem highly likely to happen together but we can't say one caused the other.
Carbon emissions and carbon in the atmosphere has been shown highly correlated with the increase in average global temperatures, weather pattern changes, etc. That doesn't directly say carbon emissions caused those though, they could both be side effects of a more fundamental root cause.
Said differently, we know carbon emissions and average temperatures after the year 1850 both went up at similar rates. We also know, though, that many other things changed over that time. We can't run a controlled study of the entire environment is impossible, we can't isolate variables and compare outcomes when only one facto changes (in this case carbon).