Why visit Beyazıt for hamam history?
Beyazıt is home to the Bayezid Hamam Culture Museum. Visit for the building and bathing objects; book your actual bath separately.

Related questions
Can I bathe at the Bayezid Hamam Culture Museum?
It is a museum visit, not a treatment reservation. Check current visiting arrangements directly and book a working hamam separately if you want a bath.
How old is the Bayezid Hamam in Istanbul?
The museum's official account dates construction to 1507–1508 using archival evidence. It is now a place to learn about bath culture, rather than book a wash.
How can I combine Sultanahmet sightseeing with a hamam?
Group nearby sights and leave a separate appointment window. For Golden Royal, use the address on Peykhane Sokak rather than a generic “Sultanahmet hamam” map result.