I really doubt it’s the fuel pump like I have tried a few tests and the fuel pump seems okay, however the mechanics insist it’s the fuel pump. When it’s about to turn off I hit the gas but no affect, it also starts backfiring through the intake.
Fuel pump? I'm more concerned about the oil pump, your gauge right there shows low pressure.
If there's anything concerning fuel you can put in a fuel pressure tester just to check but as @Daryl suggested and as you confirmed throwing in some starting fluid doesn't improve anything. That's one less reason to suspect fuel pressure but there's more of a reason to suspect oil pressure as evidenced by your video.