@Sturgis,
I suppose it is ambiguous.
In Trader Joe's, they hide a little stuffed bee for kids to find to win a prize. I would say "We searched for the Bee in the Trader Joe's" to represent that there is guaranteed to be a bee somewhere in the store... and we were going to find it.
In the case where the magic pen may or may not be in the office... I would use the first sentence.