It will trigger until immobilizer is deactivated. At least that's the problem I had, ended up having to buy a new fob and alarm relay as mine was dead (causing issue in the first place).
Pull the relay for the alarm system, in the big relay board under the drivers side front panel trim (beneath the steering wheel). Long term, you can plug it back in and program a new fob to it or buy new relay and fob.
Failing that, you can just pull fuses in accordance with this thread:
Clicky