I submit that brute forcing an AES key of reasonably length is currently impossible in an amount of time that would matter to the human race.

On average yes.

As already pointed out, however, there is nothing
to prevent the first guess from matching a key and
cracking one particular example of the cipher in
0.0001 seconds.

Therefore, brute forcing an AES key of any length
is quite possible, even if it is unlikely. q.e.d.

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