Installing door contact sensor on recessed door

Hello, I'm having trouble installing the contact sensor to my front door. The door is set back over an inch past the molding, it doesn't detect the magnet when in place. The slim magnet is still too big, the gap in between the door and frame, even when opened is almost non existent. Any recommendations on how to install this? Seems like the only options are getting the magnet/sensor to protrude out, perhaps with thick double sided tape or small block of wood the color of the door. Or trimming the molding so the sensor/magnet can sit further inside. I have more pictures but am only allowed to put one since I am a new member. Door jamb (AA battery for size reference)