Happily, water vapor will also furnish much if not all of the shielding needed to keep an atmosphere warming from CO2 effects from running away. Clouds.
The thing that clouds have more trouble holding back is actual escalation in the radiation of the sun. Nobody yet has devised a way of looking below the surface of that dense, fiery ball, to my knowledge, and there could not be, unless there were a way to “x ray” it with something like neutrinos. So if solar cycles are waiting to spring on us again, we would not know until they happened, though past cyclical behavior could be a clue.
High CO2 is more an effect than a cause in these cycles. If the solar radiation increases, the ocean will give up the less soluble CO2, like a warm Coke going flat. If it decreases, what was pointed out in the referenced article could happen, with the ocean soaking up CO2.
They actually do have mechanisms for predicting the magnetic strength as measured by sunspots for the next one or two cycles. NASA itself has preducted the next cycle soon to start will be very weak. They use the speed of currents in the suns plasma. The currents travel along the surface and then down deeper. Similar to how ocean currents on Earth behave. What they got wrong was the cycle just ending. We have now had three cycles in a row with decreasing activity. And the next is supposed to be even weaker. This winter will probably rival the worse any of us have experienced. Temperatures will drop to levels seldom encountered. Snow will also be significant. Atlas is shrugging the hairless apes off again. Last time we dropped to 100,000 worldwide apparently.