Who set up the scenario? Not them, her and her guards. I don't believe she'd kill her own kid, and if she does, oh well. That can be something else they go to Hell over.
Don't negotiate with terrorists. Hell, go with the KGB way of doing it. Look up the 70s and how the Lebanese/Hezbollah (well, the group that they were before what they are now) taking hostages for the Russians worked out for them and their families (not well, every the remaining Russians were returned unharmed too).
https://www.latimes.com/archives/la-xpm-1986-01-07-mn-13892-story.html
Monstrous consequences for monstrous people