Why are you doing this the hard way
https://www.amplighting.com/12v-inl...1dUm3pL6DdUBft9DDXDTPpUXJCl61okwaAvV7EALw_wcB
That one is good for 50 watts
If so just use a Motion Sensor that's made for lighting most name brand outdoor low voltage lighting has one for there equipment.I am powering a 12v AC landscape lighting circuit.
https://www.amplighting.com/12v-inl...1dUm3pL6DdUBft9DDXDTPpUXJCl61okwaAvV7EALw_wcB
That one is good for 50 watts