After our connecting flight leaves. Then approach the desk and play the “dumb tourist card” and say that we got distracted and missed it and at this point we will just grab a hotel and book our own connecting flight to Ireland in the next day or so.

Seems like a lot of work, I know, but saves a decent amount of money. If there really isn’t a way to game the system, then we will play by the rules. Just curious if anyone has successfully done it.