Should anyone else stumble across this older project idea (found it today as similar to the "Remote Chef" in today's email newsletter), please note that partially obscured at the top of the circuit board there is a label "ACIN" -- presumably indicating USA/NA line-level (120VAC). A little disconcerting, too, how they found they needed another resettable fuse after designing the board and sort of have it floating in mid-air with a diode! Wonder what else they missed. This would not be a particularly safe beginner project! Certainly doable, though. Safest might be to desolder the pushbutton and replace it with wires going to a relay to be controlled by the ESP32 or whatever.

You could use something like an ESP32 to run a little web server.