Just a quick update for anyone who may need this.
This version of the board has a 4-pin connector for the switch instead of the 2-pin connector shown in the switch maintenance video. But this is not surprising since the new switch has an LED.
In my case, the wires are red, black, blue, and green. The blue and green pair (the two wires closest to the board power input) are the trigger for the switch (normally open).
I ended up using two timer relays in series, allowing for a delayed activation. The switch activates roughly one second after power is detected, then releases roughly one second later. So far, this is working beautifully.