What is the heated marble platform called?
It is called the göbek taşı. It is the central marble platform used within the bathing ritual; the exact treatment sequence depends on your package.

Related questions
How were traditional hamams heated?
Historic baths used furnace-based heating systems to warm water and spaces. The exact system varies, and a working bath may use modern equipment today.
What happens on a first Turkish bath visit?
Usually you check in, change, warm up, receive the booked scrub and foam treatment, rinse and rest. Oil massage is a separate stage when included.
Why do hamam domes have small openings?
Openings in the dome admit daylight into the bath. Their arrangement varies by building, so there is no single pattern shared by every historic hamam.