Originally Posted by
RTW1
I wouldn't do that, especially not wait until after you have stayed. For DCC the requirements are that you have been given a choice between currencies, best time to dispute that is now.
Dispute with the hotel / hyatt may work, but if you dispute with the CC company the hotel might cancel your reservation. That happened to me once and even though I was in the right the hotel didn't care and I lost the great rate I booked (at a Marriott property).