No they don’t. Not at all costs. If you’re an active terrorist shooting around then sure, stop at all cost, even risking the lives of innocent civilians.
But this is a barely suspect of shoplifting. Death should never occur trying to stop a person like that. Worst case, you let her go. Yes. You let her go, as it’s not worth it.
This reminds me of that time where us police started shooting in a busy street, managed to miss all the bad guys but hit various innocent civilians.
You don’t start shooting unless there is no other option and for too many US police officers, shooting is the first option, like here.
The police officers could both have been standing next to the car, out of harms way. Had the woman left, then they could have followed her, at distance or close by if safely possible. Nobody had to die.
The police officer standing in front of the car cannot say that she endangered him, as he endangered himself by deciding to stand in front of the car.
Somehow the entire basic point is being missed that there CANNOT be a reason that a simple shoplifting (if that happened at all) leads to a person being shot dead. Police is responsible for safety of all and they should have deescalated the situation but instead they escalated it at every turn. Again this shows that US police officers have a huge lack of training.