Perhaps razzmatazz?
Oxford Learner's Dictionaries
a lot of noisy exciting activity that is intended to attract people’s attention
The documentary focuses on the razzmatazz of an American political campaign.
Wiktionary
3.(informal) Something presenting itself in a fanciful and showy, often unrealistic manner, especially when intended to impress and confuse.
Is he really the next big thing, or is all the media attention just a bunch of razzmatazz?
These particular examples would likely be used in a political context, which is why you might have found the word listening to the Trump media.
This word is derived from razzle-dazzle
American Heritage dicitionary
- Elaborate action or maneuvers designed to deceive an opponent, as in a sports contest.
- Extravagant or showy display, as of technique: a lecture that was more razzle-dazzle than substance.
These words seem like exactly the type to be used to describe circus performances, as shown in this definition:
Merriam-Webster Learner's Dictionary
1 : noisy and exciting activity meant to attract attention
The kids enjoyed the razzle-dazzle of the circus.
Perhaps pantomime, as this fits your requirement of three syllables and has Greek origins:
Oxford English dictionaries
verb: [WITH OBJECT]
Express or represent (something) by extravagant and exaggerated mime
the clown candidates pantomimed different emotions
noun: 1.1 An absurdly exaggerated piece of behavior
Huffington Post
Donald Trump and the Republican Pantomime of 2016
INQUISITR
The Pantomime Villain Leading The World Toward Armageddon
The Telegraph
Donald Trump's crude pantomime villainy will make it harder to fight Islamic terror
GQ Magazine
MISTER UNIVERSE: DONALD TRUMP AND HIS GAUDY PANTOMIME
The Independent
Giving his best pantomime performance, Trump goads supporters to boo Barack Obama
Perhaps a less likely option: ballyhoo, which comes from circus slang.
etymonline etymology
"publicity, hype," 1908, from circus slang, "a short sample of a sideshow" (1901), which is of unknown origin.
Wiktionary
To sensationalise or make grand claims.
1933 — Franklin D. Roosevelt, Fireside Chat (7 May):
Industry has picked up, railroads are carrying more freight, farm prices are better, but I am not going to indulge in issuing proclamations of over-enthusiastic assurance. We cannot ballyhoo ourselves back to prosperity.