I was quite sure that I would go with secret society but this
I think captures them quite well.
They do behave like a mafia,
squeezing out the competition - they did take out sons of honor,
circumventing authority to build up their business - they are definitely doing that, what they are doing is not legal and I don’t see them filling forms in Azish to operate there
protecting family - that is what Mraize claims, does not he? Getting Shallan’s brothers safely out of Jah Keved etc
but their goals are less than clear, amassing wealth true but they also seem to be collecting different magics not like hoid but they are collecting differently invested individuals into their organisation.
They clearly wanted a radiant and Shallan just fell into their lap of her own accord!
They want to recruit an unmade, wonder if they will set their sights at a shard eventually !!