I have no idea who would they even bailout. Investors? Why? What for? What would that change?

Bailing out banks made some sense so that they couldn't operate. Without the bailout there would be no more banks and a hundred million of people left on the ice.

If you want to keep AI operating you can just (temporarily?) ban investors from tearing down the AI companies they invested in for parts. You could say they are important for national security or something. I'm sure they are already earning enough to keep the lights on. Just not enout to give investors payback for insate capital expediture to set up.

Such ban wolud the governement zero, especially if you write the law well enough, so that it can't be succesfully challenged in court.