How do we resolve the mistake of sending innocent people to Death Row?
We have done that, and will likely do that again.
The same way we accept that innocent people will serve non-death penalty sentences, some for decades or until they die in prison of natural causes, or murder.
The same way we accept that a stray police bullet may kill an innocent bystander, and a police-suspect car chase can do the same.
The same way we accept war means civilian casualties.