How does the Ford connect door mechanism work?

Sure here are the wiring diagrams for the lock module inside the latch. Check out the images (below). Let us know if you need anything else.

Why is there a motor and diode symbol here? Is the diode in the mechanism?

Yes, the diode is internal to the latch. Here is what the diode does:

1. Prevent back feeding current (reverse current flow)

2. Protect the control module (GEM) from voltage spikes when the motor coil de-energizes

3. Ensure one-way control so that only one path (lock or unlock) can energize at a time in the correct direction

Let us know if you need anything else.

I want to solder a cable without a flex cable because the flex cables are broken. The cables are connected from the lock open-closed switch to the door ajar-closed switch. Can you explain the cable connection in the buried place? I don't want to solder incorrectly?

It looks like you found the problem, they only give us what I sent, you will need to line up the wires from the wire tape one at a time and you should be okay. There are no wiring colors so diagrams will not help except for the diagrams I sent.

I will do as you said, I will follow the paths and solder them with new cables. I did not see any diodes inside the latch, so I will just follow the cables, I hope the problem will be solved.

It should be, the wire tape was broken so you found the problem.