Solution:
As I mentioned a few days ago, I had the problem that after driving a certain distance, the car would start jerking and stall. Well, what I did that day was check everything I mentioned before. I monitored it again, but this time with the car running, and drove around until the problem reappeared. The pressure dropped from 65 psi to 0 psi, so I proceeded to check where the pump was located. I lifted the back seat thinking there was a cover to remove the pump, and what caught my attention was that it had a small black box. I proceeded to investigate what it was before doing anything else. This box is called the Fuel Pump Controller (or Driver) Module, so I also researched the electronic diagrams of the connection to the pump. Assuming this was the problem, I connected a multimeter to check if the connector was faulty. I opened the module, and everything seemed to indicate that it was fine. I connected the I used a multimeter and reconnected the pressure gauge. I drove the car around until the problem reappeared, and it happened again: the pressure dropped to 0 psi, the multimeter read 10.85V, and then jumped to 14V. This indicated that the module wasn't the problem, since the module was responding to the low pressure. From this, I deduced that it was definitely the fuel pump. Unfortunately, I dropped the tank and tested the pump outside in a small container of fuel, running it until the problem reappeared. The pump was working fine, but due to age, it was dirty and clogged with rust from the tank, preventing fuel from passing through. I cleaned the gas tank to remove all the dirt and rust. I did have to buy a replacement pump, and since then, it hasn't failed again.
As Kikemec mentioned, I ruled out the check engine light since it doesn't appear in these types of faults. I only used a scan tool to check for any outstanding codes and monitor the fuel pressure and automatic transmission. Based on this, I went straight to the fuel system.
I hope the solution I found for my problem helps you. Greetings to all, and thanks for your comments.