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Oh, I am sure the notation of the actual moves would have to be extended
here and there. Like I already mentioned for concatenating atomic moves by
'&' in cases where a turn contains more moves, or a move consists of more
steps.

The best way to approach this is to go through the games until you find
one that poses a problem, and then add some general mechanism to the
notation standard that would solve every problem of that kind. And repeat
that. Ten you usually run out of problems pretty quickly. Especially as
the community playing that game might already have solved the problem for
you, as they could not have avoided stumbling on it before.