New Exceptionalism

New Exceptionalism, also known as Triarchy Faith of the Seven, is the syncretic faith of the Triarchy. It was founded by King-Prince Protector Aegon Targaryen in the aftermath of Aegon's Invasion to help Andalize his court as well as give a religious legitimacy to owning slaves. To justify their use, the Godswrath decided to create a new religious tradition that blended the Faith of the Seven and local religious beliefs. Aegon brought many Septons to Lys and they formed a new syncretic dogma, a second form of Exceptionalism Doctrine that was called the Syncretic Doctrine.

The Syncretic Doctrine
One of the prime parts of the doctrine was to give a religious legitimacy to the institution of slavery to his new Andal court. Expounding on the theory that Targaryens were made differently by the gods, the New Exceptionalism as it was called, stated that House Targaryen was permitted to hold slaves due to their exalted nature above other people's. Much like all were ultimately the slaves of the Seven in life, the specially created Valyrians were permitted to hold slaves as well.

Secondly, the Syncretic Doctrine allowed the adopting of many other deities into the faith as lesser spirits and Gods, created by the Seven that are One. Some goddesses like the Weeping Lady of Lys and Pantera were worshipped almost alongside the Seven in status. Various exiled nobles took up these different cults as their own to patronize. House Targaryen itself even introduced the old valyrian god Balerion as a patron, created by the aspect of the Warrior and Father, now serving as the cult of the rulers of the Triarchy, though many other scions took up other lesser patrons.

Triarchism
This New Exceptionalism, or Triarchist  Faith of the Seven, was met with heavy criticism by Westeros as a disgusting heresy that worshipped other, false gods. But for Aegon it was necessary. The New Exceptionalism allowed him to realistically institute Andal tradition and culture at court while maintaining and aggrandising the local cults in Essos that a majority of his people worshipped.