Re: Can you split photons into 3?
Yes indeed. I assume you mean, can a photon be split into three entangled photons? Based on that, you ask, "So what's happening?"
For that you must turn to the combined Hamiltonian of the three photons and what happens to it when one of them is measured. And for that you need to understand what a Hamiltonian is and how to manipulate the maths. No. I'm not going to help you there.
Often, rather than split a quantum, it can be easier to entangle two pre-existing quanta. So you would end up say splitting one photon into Alice and Bob's pair, and then entangling Charlie's with Bob's. That's even if photons are the quanta used to create and store the entangled states, as opposed to just transferring them.
The key takeaway here is that you are way out of your depth and talking bollocks.