Dear Dr. Jervis,

thank you very much for submitting the revision of your manuscript. I would ask you to consider the following additional comments:

- There is a special issue in AMT on the COMET campaign out of which some papers might fit into your introductory overview: https://amt.copernicus.org/articles/special_issue1034.html

- Reviewer 2 asks for a table of the state vector elements and their priors. Please also add such a table. Please add in section 4.2 the external parameter sources for pressure, temperature and topography (and also add related assumptions such as flat topography). While these assumptions might be uncritical at the current performance level of Claire. The new GHG-SAT generation migth require refinements in the forward model.

- Reviewer 1 (her/his comment 5) asks for illustrating the effect of a typical plume enhancement in Figure 3 c. In my opinion, this would be a clear improvement. Please consider adding such an illustration (or give good reasons why this is not a good idea).

- Page 12, line 16: The posterior error formula contains the noise and the smoothing error contribution. It appears unusual to include the smoothing error for a noise assessment (or to use the full formula and to make the second term vanish artificially). Consider just using the definition of the propagated noise error "G Sy G^T", where G is the gain/contribution matrix.

Best regards,
Andre Butz.