Launched in 2019, the French Citizens' Convention for Climate (CCC) tasked 150 randomly chosen citizens with proposing fair and effective measures to fight climate change. This was to be fulfilled through an "innovative co-construction procedure", involving some unspecified external input alongside that from the citizens. Did inputs from the steering bodies undermine the citizens' accountability for the output? Did co-construction help the output resonate with the general public, as is expected from a citizens' assembly? To answer these questions, we build on our unique experience in observing the CCC proceedings and documenting them with qualitative and quantitative data. We find that the steering bodies' input, albeit significant, did not...