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Presumably there is some temperature that would cause that much sea level rise in that much time. In which case that water would leave Antarctica in one way or another.
Of course, high temperatures are possible. But then, you will actually see not only 3, but even more Amazon rivers there. I am sure, when and if the temperature down there will be high above zero, now they are low below zero, only then we will see some spectacular events.
Now, we don't.