My theory on what Maschenny wants of Jinsung:
Maschenny is going to ask Jinsung to make a call to Mommy or Granny for her.
She said she kidnapped Jinsung because he was like a breakwater to Baam and a very important member of the Ha Family:
She's already exploited Jinsung's connections to Baam, now it's time to exploit his connections to the Ha Family. They too must pay a ransom if they want him to be returned unharmed.
Looking at this particular passage:
I think there are good chances that Baam doesn't leave the Nest with Jinsung. Maschenny implies that Jinsung must do something for her (for Baam's sake), so it's probably not as simple as just calling home.
Maybe she gets Jinsung to promise Mommy/Granny that he'll return home. In exchange, Mommy/Granny will do something for Maschenny.
I think Maschenny wants to use the Ha Family/their Army in the ongoing conflict between the Lo Po Bia Family and the Po Bidau Family.