Hi
I'm also a beginner but i can read the code, but ist is not so easy to change it.
on the beginning of the code there are the definitions of the Pin's. so i think that is the easy part to change it to your layout. First i try also to use a different display (Oled with I2c protocol) but it is not so easy.
It seems that the programmer didn't follow that project so it would be difficult. I would say to you, buy that display. It is easier.
Can you correct your Picture for the egg turner?
Here are some explanations from the programmer for the egg turner function.
wish you good luck