On the other hand "Tower, AF1 going around" is not asking permission to go around, it's informing the ATC that they ARE going around. And the only acceptable reply to an eventual "No, AF1 continue the landing, you are a military flight and I give the orders here" would be a "Fuck you" (ok, "Unable" might be more appropriate).
For them to have tried landing, several conditions would have to be met: a permission from the ATC (and ATC can issue such a permission only if they can see the plane from the tower, otherwise they order GA), ground/RWY visiblity at decision height...
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