You’re so lucky it took 45 minutes but the bag did ultimately come out.
Don’t try playing games with the airlines.
They’re bigger & meaner than you and they always win. Sometimes that means you lose.
Next time check the roller board in. Or whichever of the 3 pieces you value least. Don’t hand them anything you can’t live without. My husband always holds on to his Tallis and Tefillin and a sefer (or two).