Early in the morning, Shard went out to look for Iluna, but he was still a step late. By the time he reached the apartment Iluna rented, she had already left. Subsequently, Shard couldn't find Iluna at the Blackstone Security Company either, because she had gone out on an assignment early in the morning.
Originally, Shard thought that the Blackstone Security Company would not tell him Iluna's task location, but Mr. Robinson, the captain of the Circle Sorcerer team, surprisingly volunteered the information after some consideration:
"Beyas should now be conducting surveillance at the Three Cats Inn in North City Hymn Square. If you go to find her, it's best to keep a low profile and not disrupt her task."
So, it seemed that Iluna's surveillance task wasn't particularly important.