well, for that matter, 69 chars not counting 'date '...

date "+%Y-%m-$(env LC_ALL=C cal|sed 1,2d|cut -c7-8|grep '[0-9]'|sed -n
+ 2p)"
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...but the rules say

if the second Tuesday of the current month has passed, give the second Tuesday of the next month

so that doesn't qualify either ;-)