That's basically it. The country is nominally ruled by a Sultan of Sultans, which was translated as "King of Sultans" in this chapter I would argue incorrectly as it is mixing titles from different cultures. King and Sultan basically just being different language's versions of the same word, like King and Roi and Rex.
To translate the situation directly to a real-world parallel, the country is basically in a Shogunate Period where the Emperor (Sultan of Sultans) is technically the ruler, but all actual power is wielded by the Golden Governor General (Shogun) who delegates much of the administration to presumably hereditary Governor Generals (Daimyo). For a Western Equivalent you could look at the Merovingian Dynasty for something similar.
I really like that the Author actually took the time to think about politics and properly flesh out multiple competing factions that probably won't line up nicely on a 1-v-1 scale. Already just in Paz there's at least 5 competing groups in the form of Jakal, Nadir, The Alchemists, The Assassins, and Primavera and while many of those organisations may be tentatively aligned, they all have their own goals that might destroy those alliances. Now we've got 3 new Factions in the form of the Triple G, The SoS, and the Rebelling Provinces.
Amina picked a Hell of a Time to quit Drinkin NEETing in her Lamp.