Are the columns cast in place?
I did not see such a detail and IMO , is not a valid detail.
Can you post the floor plan and some details to get the frame system ? I remember a precast balcony detail below , ( BY Kim S. Elliott )
If your plan is to cast a topping slab to increase negative moment resistance, then you need longitudinal steel in the topping and you need shearheads at the interface. You might be better off embedding near-surface reinforcement, instead.