SpaceX spaceport is based in Texas that is the main reason why Elon Musk wants to build his Spacebase town there. However I won’t wonder if he would put their a lot of windmills to have cheap electricity and also make there a small (on several thousands of asics) BTC (and Dogecoin as well) mining farm like that did those companies. Texas has all facilities for this.
There is possibility that he is already thinking about this kind of venture. But of course, I believe, he will use a renewable energy source unlike other mining facilities. As Musk has investments in btc and doge, more than likely, putting up his own mining facility has passed in his mind. Let us see in the coming months or years, if he will announce putting up some of his investments in crypto mining. Elon wants clean power, and right now, bitcoin mining is giving off million metric tons of carbon dioxide emissions. So it is an irony of what he is preaching for.