Wait, are you really saying that taxpayer money should be wasted for the third time?
There are different ways you can support a vital, domestic industry. One option is through tariffs. The public still pays, but the burden is distributed based on how much of the resource you actually use.
The first time because of the sanctions, from which taxpayers lose, including as customers due to inflated prices.
"Sanctions" mean either import or export restrictions. This might hurt industries which either import or export the said commodity, but not taxpayers.
Next time direct cash for chips.
Again, this is to prevent the mother of all chip shortages, if Taiwan's supply goes "offline", which could happen as soon as a few years. I think it's a wise investment.
And now support again, for the development of mines... Why don't they just let the private initiative take care of their business as they learned in business schools?
Do you think there weren't rare earth mines in the USA, before? There were, but they got priced out of the market through state-backed, predatory pricing by China. Once China had cornered the market, they increased prices. That's one of the oldest tricks in the book. I'm sure they teach it at business schools.
If all or most of it is going to be done with tax money, why not just have the state build, maintain and operate
For better or worse, that's just not going to happen. The notion of state-run businesses is a non-starter, in the US. Even the US Postal Service, which operates under Constitutional mandate, has been partially privatized.
So the tax money and the profits of the business as a whole will go into the treasury, and not make the turned surplus, private owners and shareholders into billionaires.
The CHIPS act has several different protections to keep taxpayer money from flowing directly through to shareholders' pockets. We'll see how that works. *If* rare earth metal mining is directly subsidized, that could be a model for doing it. If supported via import tariffs, then the they would have to be carefully managed, to avoid making the sector too profitable, on the backs of domestic manufacturers who need those materials.
BTW, a very popular way to subsidize industries is through tax breaks. There's oodles of hidden government spending which takes this form.