Per the card terms and conditions (
here):
World of Hyatt Tier-Qualifying Night credits will be credited to the calendar year in which the spend occurred.
And OMAAT:
Hyatt says that it can take up to eight weeks from the last day of the calendar month when you qualify for three credits to be added to your World of Hyatt account. However, while they may post with a delay, they should count towards your status in the same calendar year in which you complete the spend (in other words, if you spend $5,000 in November 2018 and the credits only post in January 2019, they’d still count towards your 2018 status).
I'm going to roll the dice and will report back in January.