Hello Dear ElectroPhysics
Where those waveforms are from ? out put ? that step that you can see at your waveform is due to the discontinuous behavior of your circuit , that you can improve it simply .
By the way , as i have seen in it's datasheet , it can't create dead time independently .
But it's input contains 2 schmitt trigger not gate , that you can create dead times with those internally gates and 2 capacitor and 2 low power fast diodes.
BTW:
I think the value of your boot strap capacitor isn't proper too . you'd better to increase it .
I hope that i understood your question correctly.
Best Wishes
Goldsmith