I believe that the key term here is "Dealer Installed Alarm". It obviously isn't installed correctly if is sounds constantly. I'd have them fix it. No, the alarm doesn't go off every time I hit the lock button a second time. However, there is one of the many factory "chirpers" that chirps when I give it the second push. That may be what you are getting. I suspect that there is a setting in the truck or alarm to turn it off in the truck door lock menu. You might look there.