"Ha-of-three Hearts, this is your 'god' and your people, you called 'yith', is that correct? What does Kai mean then?"
"City. It simply means city," Tcho-Ri said.
So the three part name is constructed like so: [God's (personal?) name)--[*ith=people]--[Kai=city], meaning something like [The *ith People of the City of the God (Foo)].
"Ya-the-Seven-Part-Sword dreams of war and a great league,"
[snip]
More likely, this one thinks, this is an exercise in crafting consensus. A god divided could not stand against your Cai. The Minds of Ya seek glory and a great league. Each city brought to consensus brings might to Ya. They seek to use you as an instrument in this."
"Seven Part Sword"? Is this like the Seven Colored Sword of Ruin the Stars of the Cloud Tribes' use?
Anyways, the Ya-Lith-Kai are part of a league of city-states with at least seven cities, of which the sixth and seventh are under the Argent Peak Sect's lands and are facing resource depletion. However, Tcho-Ri believes that's only an excuse; she believes the Ya-Lith-Kai have manufactured a casus belli to get a war they can threaten/bribe/persuade other city-states with to join their league. Therefore, they have their villain in the cultural etiological myth of their league, presumably with the god Ya and their Voices serving as the Founding Fathers and Mothers.
For the questions to ask Tcho-Ri, the main thrust should be to figure out what the *ith in general and the Lith in particular need and want to ensure peace with the Empire. The Ya-Lith-Kai are trying to use the Empire as the Boogeyman for their war story; what's needed is to understand how the Empire can undercut that narrative so that, instead of fighting an expanding front, the Empire can isolate the Ya-Lith-Kai from their sister cities and deal with the Ya-Lith-Kai in detail.
Everything else -- the *ith's cultivation system, their children/elder weirdness, their religion, etc. -- all of that should be subordinate to the problem of the Ya-Lith-Kai trying to use War against the Emerald Seas as the answer for their domestic problems.
To that end, the questions should be to find a commonality between the *ith and the Empire's cultures that can be used to make each people treat the other as people, and then to find things -- materials, services, etc. -- that can be used to convince each people to consider peace with the other as an ideal goal.
Though I can't really think of anything other than a direct "What can we use to
bribe convince the other cities to remain in peaceful coexistence with the Empire?" for the second requirement, the first has something workable based on previously-known information, I think. Since this is Ling Qi, and the Emerald Seas is a religious place, an answer for the first requirement could be an equating of the Nameless Mother and the World Corpse; to make the *ith also children of the Nameless and therefore kin. Something like "The Empire believes that humans are the creation of the Nameless Father and Mother, whose bodies comprises the world. Is your "World Corpse" similar to that?"