What is the ruling on extramarital sexual relations with non-People of the Book committed by a married man, and is it on the same level as adultery with a Muslim woman or a Dhimmi woman?

Any sexual relationship outside the framework of marriage or lawful concubinage is considered adultery, based on the Almighty's saying: "And those who guard their private parts Except from their wives or those their right hands possess, for indeed, they are not to be blamed But whoever seeks beyond that, then those are the transgressors."