Okay so I couldn't get EOScard to work. I kept getting the Drive: 1 ERROR Write Failed message so I decided to skip that step after a while and procedded to open up the camera with the help of the guys on discord.
The camera's screws uses a rare "000 phillips screw" that I had to go out and buy a screwdriver set for. I took apart the 4 screws from the side ports and found that the camera actually is accessible on the side like so:

The green is another screw that I had to take out in order to let that part of plastic come off.
Now when I did that, I was given acess to the board. Unfortunately I tried my hardest but I could not get the entire thing to come off. But it did allow me to see inside where the suspected UART port is:



So it looks easy to get to. The problem is that the pins are extremely tiny. I'm going to try to measure the distance between them once I get a good battery for my calipers. But it's so small that I probably won't be able to tell if the pitch was between 0.4mm or 0.3mm or something.
Does anyone have advice on a way to probe the pins? I have an arduino uno, usb host shield, FTDI USB UART IC ‘FT232RL’ adapter that can run at 3.3V or 5V, and all the accessories that come with an arduino (breadboard, wires etc). But I don't know how to make a connector that could probe pins that are that small.
@names_are_hard and @coon suggested these
two links to try to make a custom connector. But I have little experience in that.