I don't think you need to do anything else to the Fringe tree. Since it has a number of new sprouts occurring along the trunk, it appears to wants to grow just as it is.
It could very well have had some kind of damage above the point of the new sprouts that caused this condition. At this point, that doesn't matter since it will rapidly replace that structure with entirely new branching. After the new growth hardens off, I'd simply prune away the dead wood and proceed with the plant's new stems. Mulch to retain moisture, and employ some rodent-be-gone methods.
