A back-up of the ESP easy rules that that I used to control my Bellfire fireplace . You can find the end-to-end integration of the Bellfire fireplace with Home Assistant here.
ESPeasy rules
//GIO14 == Relay 1
//GPIO4 == Relay 2
//GPIO 12 == Relay 3
on IGNITION do
// Close relays contacts
gpio,14,1
gpio,12,1
timerSet 1,1 // 1 second delay
Publish,/fireplace/status,event,IGNITION
endon
On Rules#Timer=1 do
///Open relays contacts
gpio,14,0
gpio,4,0
gpio,12,0
endon
on FIRE_OFF do
// Close relays contacts
gpio,14,1
gpio,4,1
gpio,12,1
timerSet 1,1 // 1 second delay
Publish,/fireplace/status,event,FIRE_OFF
endon
on SECONDBURNER_ON do
// Close relays contacts
gpio,14,1
gpio,4,1
timerSet 1,1 // 1 second delay
Publish,/fireplace/status/centerfire,event,SECONDBURNER_ON
endon
on SECONDBURNER_OFF do
// Close relays contacts
gpio,4,1
gpio,12,1
timerSet 1,1 // 1 second delay
Publish,/fireplace/status/centerfire,event,SECONDBURNER_OFF
endon
on INCREASE_FIRE do
// Close relays contacts
gpio,14,1
timerSet 1,3 // 1 second delay
endon
on DECREASE_FIRE do
// Close relays contacts
gpio,12,1
timerSet 1,3 // 1 second delay
endon
Wiring photos
Hope this helps.