TOGA limits
Sorry perhaps I am missing something here or we are talking at odds.
As far as I was aware TOGA thrust does not know if you are taking off or going around: it's just a maximum thrust setting you can select for either take off or go around (when you need maximum thrust). I have only worked on B737-300 with CFM56 and I was pretty sure TOGA was ltd to 5 mins...whether you are taking off or going around.
Sorry if I am missing something and/or being too simplistic about it.