Teleporting during exploration when the team is in trouble. I believe it should be up to the leader to decide when to quit based on health, area difficulty, maybe even number of potions remained, so only her traits mean something. In case if the leader is dead the team probably should return instantly.
I don't know how are you going to handle capturing though. If you going to use the most agile girl in the team, only her traits mean as well.
*Well, sh1t... I need to document stuff

Ok, so atm:
- Team teleportation is assumed, not really reported as such.
- Team will return on any of the girls dieing, not just the leader.
- There isn't any solid representation of area difficulty.
- Decision to withdraw is based on risk and health factors.
*I don't think traits can be coded for withdrawal as you suggest, code doesn't anticipate it. Traits can matter a lot if we want them to but not generalized through JSON, instead in a similar way to what we do with jobs (specific trait = unique decision making effect).
**I made some plans in precious posts (yesterday for tonight). I also want to try and make a composite image for SE, without editing Next Day code. Going to be a bit tricky I expect, but I see no reason for it not to work.
***Anyway, adding chance to capture shouldn't be hard at the very least, I want to take leaders traits, not the highest agility girl.