see: https://docs.google.com/document/d/1pTerMW4biKYlURv065lOokOb1VYkcRZ_vqkWMaP76_Y/edit
ZVS module
switch
power supply
Glass slide (not necessary)
You don't. Without seeing the fridge's circuit diagram, you don't know if there's a 12v rail inside it. Even if there is, you don't know if it has enough spare current to power your pump.
The correct way is pretty simple.
OK, it was the power supply. This one from Amazon worked $11.99
This is what you need, works like a charm and fits all specs. https://www.amazon.com/gp/product/B01GEA8PQA
Anything along these lines.
https://www.amazon.com/ALITOVE-Adapter-Converter-100-240V-5-5x2-1mm/dp/B01GEA8PQA/
I'd be surprised if you didn't have some already, they're kind of ubiquitous.
Edit: and remember, you need something that can take the DIN9 output video (MegaDrive/Genesis model 2) and upscale it to a modern TV unless you have a RGB monitor. I use a Genesis Model 2 SCART cable and an OSSC.