The link in the ADAPT Manual takes you to an old version of COFOG. Here is a link to most recent version https://www.imf.org/external/pubs/ft/gfs/manual/pdf/ch6ann.pdf
7013 GENERAL SERVICES
This group covers services that are not connected with a specific function and which are usually undertaken by central offices at the various levels of government. It also covers those services connected with a particular function that are undertaken by such central offices. For example, the compilation of industry, environment, health or education statistics by a central statistical agency is included here.
I note too that ADAPT refers to the classfication as sectors, when it really is functions of government