When a young black man from the inner city starts to work for a powerful businessman, he spirals into the ruthless world of organized crime and must not only find a way out, but also outsmart the FBI.

>>? he must deliver a person of interest within a week. If not, his family is in danger.

This is most or half the story, right? If yes, the logline needs it as it’s the hook and the stakes. Then tell us the conflict in trying to deliver the person.

>> When a young black man from the inner city

The character being black is not as significant as being from the inner city, unless it’s clarified that race is important to the story.

>>starts to work for a powerful businessman, he spirals into the ruthless world of organized crime

This can be smoother and shorter by saying the businessman is a crime boss or whatever.

>> but also outsmart the FBI.

This can likely be cut since it’s the secondary conflict and there’s not enough space to clarify it.

My two cents.