a) The shadow zone is only for direct P-waves, as you have shown in all your quotes so far.
b) The only line on your graph that is direct P-waves is the green marks. Look at your key, and see that it says green marks are direct P-waves.
c) All other waves you see in the shadow zone are not direct P-waves. Look at your key, The types of waves you see in the shadow zone are PP, SS, and PKIKP (not originally quoted by you in your key, but in the graphic)
A PP-wave is a P-wave that is reflected off of a point on the surface at some distance from the epicenter. The new PP-wave radiates from that new reflection point.
Look, if you are casting a shadow in the sunlight, and then someone comes along and aims a reflector to shine sunlight into your shadow, this wouldn't be confusing, would it? Would you ask how sunlight can possibly get into your shadow? The reflected waves are coming from where they are reflected from. If the original P-wave goes to, say, 90 degrees and then is reflected as a PP-wave, the new PP-wave can go another 90 degrees again FROM THE POINT IT WAS REFLECTED AT.
You seemed to understand this in your OP, so it kind of feels like you are deliberately pretending to misunderstand now. From your OP:
Note how the yellow and orange s-waves and the green primary p-waves (not reflected) both terminate at 103 degrees as predicted by the round earth model.
Why when you made your OP did you understand the difference between primary p-waves and reflected pp-waves and you don't understand it now?