We actually ruled it the other way in play, mainly because I felt like it was going to be a damaging card and wanted to make sure I wasn't getting a benefit I shouldn't have. Assuming your way is correct I cheated myself of one turn of a forced discard. Even so it was a devastating card, I wound up sinking half of my opponents deck and getting the win without burning a single zone. There really wasn't anything he could do about it particularly when it got out so early.

The Infiltrate! quest card has two Forced actions, both are for the "beginning of your turn". There don't appear to be rules governing the order that multiple actions must occur in when they happen at the same time and it's important in this case. So is it the owner's choice? Is there an official FAQ yet?