Usually 12 volts dc so your 13 volt reading is likely correct.
Garage door opener switch voltage.
Then buy a non illuminated push button that falls into this voltage range.
I put a multi meter on the connectors and it looks like the garage door wall switch provides a continuous 10v and a cut in that voltage opens the door.
The door will close only when holding down the button the voltage at the operator unit at the sensor wire connectors with the wires removed is about 1 1 2 volts.
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If the garage door is hard wired into the electrical circuit turn off the circuit breaker for the garage door.
A wall console unit for a garage door opener is not a complicated device so it s fairly simple to troubleshoot when something seems to go wrong.
The wired controller and sensors use low voltage wiring usually 24v to connect to the motor unit.
Garage door openers use a receptacle in the ceiling for power.
Garage door opener sensors garage door openers use safety reversing sensors to prevent the door from closing if a child pet or any object is under the door.
On sears model 139 53990 garage door opener the safety sensors have now failed to work after an electrical storm.
Place a stepladder beneath the garage door opener and unplug the power to the unit.
Depending on the model most work by connecting two to four wires onto terminals mounting the device on the wall and then plugging the unit into an electrical outlet.
Read the specs on the transformer or measure the voltage out of the transformer.
The voltage to the sensors is usually transformed at the main opener to low voltage probably dc but maybe ac.
No led lights on either sensor.
Any button should work as it low voltage and is only momentarily energized.
In the garage open up the door opener.