Castiel has been listening to the aforementioned discussion that seemed to be a little too focused on who Allen Walker may or may not have had relations with, but deemed it far too pointless to actually take part in considering the effort it would take. So he's just drinking coffee too, pretending to read and grade papers, though he does have a suggestion when the conversation becomes a little less idiotic.

He pulls one of the spare pieces of parchment he has with him closer, writing out a quick note and passing it over to Gary.

Taming it might be possible, but is unlikely. Do we have any knowledge as to why the dragon chose to come here to begin with?

Because if it was for a specific reason, they might be able to get rid of that reason and prompt the dragon to leave on its own.