This dot is not tiny.
This dot is 6,000 square miles, which falls short of the usual figure of 10,000 square miles of solar panels to power the US.
10,000 square miles is two Greater Los Angeles areas, all the way from Thousand Oaks to San Clemente, from Moreno Valley to the ocean.
A very large number does not magically become a small number when you pull an even bigger number out of your ass to compare it to.
Now you wanna cover that area in solar panels, and keep them all maintained, cleaned, and facing the sun?
Then you wanna make enough batteries to charge up and meet the ENTIRE POWER DEMANDS OF THE UNITED STATES over the course of a winter night?
Is this impossible?
No. Very few things are impossible. But what would it cost, and is it the lowest cost option?
Well, allow me to introduce you to the concept of a Radiothermal Steam Generator.
Let's suppose, purely for the purpose of argument, that there are some magic rocks that get hot all by themselves. In fact, if you refine them and put a whole bunch of them together, they get really hot.
If these magic rocks existed, then it would be relatively simple to gather a bunch of them together, boil some water, and make electricity with a great big steam engine running off the boiling water.
Best of all, you could run them all night, so you wouldn't need 25 trillion dollars worth of batteries. Plus more to support growing power demands.
And you wouldn't have to clean and maintain 438 Manhattan Islands' worth of solar panels.
(See? I can make a big number look even bigger by comparing it to a small number! See how this trick is played?)
Sure, you would have to throw away the rocks after they wore out and didn't get hot anymore. But they wouldn't occupy any more volume than they did when you were using them. So you could store them right there in big concrete block, no problem.
But there are two problems with Radiothermal Steam Generation.
First of all, boomers are scared of magic rocks, so they pass a whole bunch of laws to make them feel safe, to the point where any use of magic rocks costs two extra dollars in regulatory compliance for every one dollar in actual cost.
Secondly, magic rocks are clearly made up and don't exist. Otherwise we would have known about them since the early 20th century, and cheap, zero-carbon energy would be a totally solved problem.
Since this hasn't happened, magic rocks must not exist, because if they did, what civilization would be so stupid as to not use them?
you can power all of America with a tiny dot in the desert