OK, I have now completed installing my dashcam. I can now say for sure that the fuse diagram that Mini provided is in fact for the hybrid and not the SE.
I hardwired to fuse number 65 since the diagram for both the regular F56 and PHEV labels this as the cigarette lighter. I used a multimeter to ensure that this is a switched fuse. I sat in the car to wait for everything to power down. If anyone is wondering, after about 3 minutes of no activity the ambient lighting turns off. If you keep your glove box open, at around the 13 minute mark is when you'll see the glove box light go off and an audible click signaling things turned off. That's when I measured the fuse and saw that power is now off at this point.
I installed a blackvue 750S 2 channel camera. I wanted to utilize parking mode, but didn't want to run the battery dead like it did in my Civic so I also installed the blackvue B124X battery. It charges this battery when the car is on and then the battery powers the dashcam when the car is off. It has an app, so I confirmed it is working properly after I finished installing. While the car is on, I can see the battery is charging. After locking the car and approximately 13 minutes later, I can see in the app that the battery is discharging (strictly powering the dashcam).
Then I noticed something yesterday that I found interesting. When I am charging the SE, the blackvue battery is also charging the entire time. As in, the blackvue battery never shows itself as discharging at all. Does anyone know why that would be? Could it be that while the car is plugged in, that same electricity is now powering other parts of the car as well?