Thermostat bypass

Hi, I have been watching this project for a while and following its development. I finally got hold of a second hand fridge a couple of days ago. I opened the thermostat and it shows 4 connections: earth + 3 cables (grey, brown and white). I have dismantled the thermostat and I can see the letter C (for the white cable), H (brown) and L (grey). Can anyone help confirm that I should:
a) connect the grey cables to the lamp as per original clip
b) connect the grey and brown cables together
c) what do I do with the white and earth cables?
Thanks in advance!