I think it is not available. The data is not available in the official American Economic Review website, nor on the personal website of the authors of the replication study (the third author does not have a website).
The spreadsheet was given to the authors of the replication paper by Reinhart and Rogoff via email. There might have been an implicit agreement not to disclose it. Apparently, the underlying data cannot be produced directly from the website Reinhart and Rogoff used. The replication paper states:
On their web site, RR provide public access to country historical data for public debt and GDP growth in spreadsheets with complete source documentation. However, these publicly available spreadsheets do not include information on the exact data series, years and methods used in their paper. As such, we were unable to replicate the RR results from the data they posted on their web site.
In response to our request of April 2013, RR did provide us with the working spreadsheet that they used in producing the RR papers.
As always with negative replies, we can only prove the contrary, so I might be wrong.