byorgey 15k:
I'll give it a try. (= This is indeed a cool problem.
If white plays at any of the three points marked a, black captures at b, making the second eye, and the remaining two a points are miai to connect the eyes.
Comment: If white plays at the middle a, black could also play on one of the side a, making b and the remaining a miai. White has then the same amount of threats, but black has the chance to gain two additional points later if white tenukis.
If white plays instead, black must capture with
. Black then captures the throw-in at
and a and b are miai.
Some failed attempts:
After ,
takes away the second eye. Playing
at a does not help; black can capture
but still does not get a second eye. Playing
at b does not help either since white has enough time to escape.
does not work either: after the exchange of
and
, the throw-in at
dashes black's hopes for a second eye.