Originally Posted by clickwir
does it add time to their hospital stay?
No it didn't.
The higher your CI is, the longer the hospital stay. When I got Tyra the 1st time at CI82, it put Tyra in for 400+ min. When I did it at CI50, it didn't add the time but replaced it with 182 min.
Either way, tyra will see two assassinations. The bounty shouldn't expire anytime soon.