About 3 billion years ago, the Sun was only 80 percent as luminous as it is currently.
Conclusion
There was probably way more CO2 in Earth's atmosphere 3 billion years ago.
Evidence
The sun was only 80% as bright, which in today's atmosphere would mean frozen oceans. Since we know the oceans were liquid, the atmosphere must have had more greenhouse gases, like CO2 and methane.
Evaluation
This seems like a bit of an arbitrary choice. We know we need there to have been a higher level of greenhouse gases in the atmosphere 3 billion years ago, but why does it specifically have to be more CO2? Maybe it was more methane? Maybe it was more of some other greenhouse gas?
Goal
Look for an answer that addresses the possibility that the atmosphere had higher greenhouse gases, via some alternative to CO2 like methane or some other greenhouse gas.