In Nick Sibicky's lecture #246, they state that the black group at T3 is dead:
They exactly say that both have 4 liberties and it's White's move so Black is dead.
But, after Black connects at S3 and white takes outside liberty at S5, Black can gain one extra liberty: T5 (threatening to run out), White S7, T6, S8 and Black now has 4 liberties and is on the move! Plays O1 and wins the race.
Like this:
$$Bcm1
$$ |...,.....,
$$ |..........
$$ |..........
$$ |.XXX......
$$ |7OOOX.....
$$ |.OXXOO....
$$ |.OXO.....,
$$ |.OXOO.....
$$ |.X1X2.46..
$$ |.XXX35....
$$ +----------
Or rotated to agree with their coordinates:
$$Bcm1
$$ ..........|
$$ ..........|
$$ ..........|
$$ ,.....,...|
$$ ..........|
$$ ........6.|
$$ ........4.|
$$ .....O...5|
$$ ....XO.O23|
$$ ,..XOXOOXX|
$$ ...XOXXX1X|
$$ ...XOOOOXX|
$$ ....7.....|
$$ ----------+
Or did I miss something?