Asking an ASI to leave a hole in a Dyson Shell, so that Earth could get some sunlight not transformed to infrared, would cost It 4.5e-10 of Its income.
Interestingly, if the ASI did this, Earth would still be in trouble because it would get the same amount of solar radiation, but the default would be also receiving a similar amount of infrared from the Dyson swarm. Perhaps the infrared could be directed away from the earth, or perhaps an infrared shield could be placed above the earth or some other radiation management system could be implemented. Similarly, even if the Dyson swarm were outside the earth’s orbit, Earth would also default get a lot of infrared from the Dyson swarm. Still, it would not cost the ASI very much more of its income to actually spare Earth.
Interestingly, if the ASI did this, Earth would still be in trouble because it would get the same amount of solar radiation, but the default would be also receiving a similar amount of infrared from the Dyson swarm. Perhaps the infrared could be directed away from the earth, or perhaps an infrared shield could be placed above the earth or some other radiation management system could be implemented. Similarly, even if the Dyson swarm were outside the earth’s orbit, Earth would also default get a lot of infrared from the Dyson swarm. Still, it would not cost the ASI very much more of its income to actually spare Earth.