Now I take my icebox unplug it from the socket , sit it out in my
yard in the hot hot summer sun. Does my beer get cooler or hotter?
The system is still an OPEN one, the suns energy is abundantly
available, the device is the same as before yet my beer gets hot, the
box gets hot and I get hot.
Yes. Although the 2nd law of thermodynamics states that your beer will, in a closed system, become colder as time goes on, the energy being pumped into the system by the sun increases the heat energy of your beer, making it warmer.
Congratulations. You've just ably demonstrated how energy introduced from an outside source renders the 2nd law moot.
"I fail to comprehend your indignation, sir. I've simply made the logical deduction that you are a liar."
-Spock