I have read this article on general intent and this article on specific intent. I have also read this article on justification as well as this article on self defense which also discusses justification.
Intent and justification are two separate concepts. "Intent" refers to the actor's internal state of mind. "Justification" refers to the external conditions the actor faces at the time of the action.
As we cannot know the contents of the minds of either participant (nor can the participants know the minds of eachother) "intent" is not the relevant model for this discussion.
