I do not believe that is true, unless you have a point source of CO2 that can flow like a river through the air to the basement.
Any gas that contains a mix of heavy and light molecules will not significantly separate under gravity. There is too much random thermal (brownian) motion to allow demixing of the molecules.
This has more:
http://imartinez.etsiae.upm.es/~isidoro/bk3/c07/Mixture settling.pdf
"Air masses of ‘normal’ size (say of <<1 km vertical extent) have almost uniform composition when at equilibrium; e.g. in a 100 m height air column, if there is 1 % of argon at the bottom (MAr=0.040 kg/mol, against MN2=0.028 kg/mol), there would be 0.995 % Ar at the top, at equilibrium, according to (4). "