I have an ethernet/PoE question.

I currently have a CAT6 ethernet cable ran from my IT closet to a corner of my house. It is has a Swann security camera connected on one end and the other is connected to the Swann system. I am wanting to install an outdoor wifi booster (TP Link) that is PoE as well as keep the Swann security camera, but I only have the one ethernet cable so I need to split it.

This is the setup I’d like to verify will work. 1- A PoE switch in my IT closet with a cable from my router to the INPUT and then 1 output port going to the Swann system and another output port with my previous installed cable that runs within the walls to the corner of my house. 2 - at the corner of my house, outside, I would have the cable coming from the inside PoE switch going IN to a 1 in 2 out PoE Repeater. 3 - One of the outputs on the 1 in 2 out PoE repeater would go to the TP Link wifi booster device and the other to the Swann security camera. Would this work? TYIA