My trunk light goes on and off in cold weather and sets off the alarm when activated. Can I bypass the sensor?

When it gets cold outside I notice the trunk open light on the dash going on and off while I'm driving. If I park then arm the alarm and come back later I am greeted by three beeps from the horn indicating the alarm was going off.

It seems the trunk sensor is causing the alarm problem. Can I disconnect the sensor somehow so that the alarm system thinks the trunk is always closed? This car is getting old and I really don't want to put any money into it. I've been leaving one door unlocked to prevent the alarm from activating but that's not the safest option.