Here is a starting point concept schematic. U1 acts as a simple CMOS inverter with an input transition level of approx. 6 V. IF (yes, this is a big IF) the 12 V power supply is fully isolated and floating, it is safe to connect the monitor circuit ground to the alarm circuit ground.
When any input is pulled down to approx. 5.4 V, the beeper will beep. If this simple approach is OK, then the next step adds the 5 minute silence timer.
ak

When any input is pulled down to approx. 5.4 V, the beeper will beep. If this simple approach is OK, then the next step adds the 5 minute silence timer.
ak


