Displaced people arrive at the largest crossing in the world, because displaced people always end up where the traffic is. Neither government wants them and neither can afford to feed them. The refining houses will pay for an answer they can use.
So there is a building with clerks, benches, and a numbered queue that starts before dawn. It is a joint office, operated by both Kaerys authorities and funded through money pooled from several refining houses. No single house owns its public face or supplies all of its staff. There is a proper name over the door, about assessment and displaced persons. It has never once been said aloud in my hearing.
Of the two governments in this city, the one thing they operate together is the machine that processes people. The public queue is only one route into its Articles. It works well. That is not a figure of speech: the queue moves, the clerks are competent, and the money arrives on the day it is promised.