The battery you posted in the other thread looks like a normal group 24 12V battery, unless there was something else you didn't show?
You may not be able to easily run your 3 way fridge
on 12V/solar. It will depend on your fridge's actual power demands - and you'll need to know that before you can really start to plan out a solar
system or battery bank. I don't mean that to discourage you, but if your fridge
needs 50 amp hours a day to run, you'll need at least two 100W panels and more than one battery.
I am running my super-efficient 12V only Engel fridge
off one 100W panel and a single group 24 battery currently, but the battery is more of a temporary solution than anything else... it's working fine and I could conceivably run it for about two days with "no" sun, but I would like to have more buffer than that if we happen to camp in a shady location. Dual 6V AGM batteries are in my future so I have more reserve battery power and I can put them under the dinette bench without worrying about venting them. My single 100W panel is fine for my power needs, but it might not be for someone else's.
Also, because someone PM'd me and asked, my fridge only averages about 22-24 amp hours a day. All of the LED lights
in my camper only draw .8amps an hour if I turn them all on at once (just one on uses slightly over .1amp an hour), and if I left them on all day/night they would use nearly as much as my fridge... that's how efficient the fridge is