Also, even if the weather is ABOVE minimums, but you have to make a "weather related missed approach", I was also under the impression that the weather must improve x2 in order to make a 3rd approach?
As stated earlier, I doubt it is a "law" anywhere, but something
similar might be in company manuals.
It is in our Co Manuals about 3rd approach only in certain circs, but not as strict as stated above. One of the factors is to avoid "distress to pax"...