HR10A-7P-4S(73) or HR10-7P-4S(73) look like the right mating connector. Pinout is unknown, I will likely need to open the camera to determine how to wire it.
CN1 pin 1 goes through a fuse followed by a shunt diode. This makes me sad but it looks like they used shunt reverse polarity protection, not series 😢.
The fuse is marked `X050F OORZ`. This appears to be a PTC with part number SMD050F ([product page](https://www.littelfuse.com/products/polyswitch-resettable-pptcs/surface-mount/smd/smd050f_2.aspx)) (0.5A hold, 1A trip). The designers are redeemed in my eyes.
Based on the diode polarity, connectivity to power filter ([BNX022](https://www.murata.com/en-us/products/productdata/8796777775134/ENFH0008.pdf)), and wire colors I think it is safe to say that CN1 pin 2 is GND and CN1 pin 1 is power.