As I noted, the push button signal is not continuous (quote from Post #18 below), which is why I posted the circuit with a latching relay that goes to the limit switches, since I think the TS does not want to have to hold the button until the lid completely opens or closes.
Does that generate a momentary or steady signal?
It generates a steady signal/voltage for as long as it's activated/pushed. Once released, it is zero or open. Then, when pressed again, it is the opposite polarity for as long as you hold the switch.