Reading your statement i had to satisfy my curiosity and thirst for closure,
Indeed, both Hyatt properties in my native Amsterdam don't list their contact email on their website!

"I'd like to book a whole floor to park my harem........
Normally we could just email them via internet on starlink in the middle of the dessert on the camel.....
But where's the email of the hotel to be found?"
Does the sheik expect to drive to the next oasis to use a phone with reception to call the hotel?
Quirky indeed!
Just a sampler of the situation at IHG,
the main page of the hotel's website via ihg.com does always list the hotel's email or in the middlesection at map or at the end with contact details.
No wonder the sheik is parking his harem at IHG-hotels and can reach out in advance per email to accomodate the harem's needs. The fear that a male telephone operator is hearing the harem's giggles in the background noise on the phonecall is being negated by the discreteness of electronic mail.
You would have guessed Anthony Capuano in his quest to expand Marriott at all costs, would force hotels to display their contact information...... or (sarcasm) they try to be unreachable as those pesky Bonvoyers are not the product anyway.
Sticking to halloween theme today.....
Frightning that "how to email a Marriott hotel" has a thread of 36 pages on flyertalk!
FAQ : Marriott hotels email addresses (Discussion Thread)
There's enough agony, torment, wailing, despair and horror to fill a haunted house to the brim! How ghastly!
Regulars know here that i send long lengthy pre-arrival emails before my every stay.
If i need to spend my time & € calling or first searching for a hotel's email, i'd rather offer my virgin neck to Dracula's love at first bite. Anyway, wishing everyone a happy halloween! Be careful what you summon, it's quite easy but getting rid of it can get quite a chore ! To get in the ghotic horror of mood of "tales of the cryptkeeper" & "are you afraid of the dark?"
Glad to see IHG in the "spirit" of the season.
Signing off, time for my annual Scooby Doo halloween marathon,
the ones were the monsters are supernatural and not some dressed up humans doing it out of greed.....
Happy halloween !