No, publicly traded. One of the first steps to enshittyfication.

I think in English that'd be called being nationalized

Also state owned is only really useful for infrastructure, where it doesn't make sense to have multiple providers and monopolies are easily attainable. Like roads, rails, electricity, internet backbone infrastructure and providers, social media, etc. Democracy is the currently best way we know of managing monopolies.

For other stuff, you probably want employee owned democratic collectives. You would still have competition on the market, but its ordinary people that have the say. This would give more power to the people enthused about the tech and long term success, then all the short term gains.

No, public like owned by investors who bought stock and want profits.

Listed on stock exchanges instead of owned by private shareholders.