Very well done, but I'll have to take umbrage with the idea that it would take 8 minutes and a few seconds before the earth goes dark. Without the gravitational pull of the sun, which you impressively highlighted, the earth would hurl into space at, I would assume, a faster rate of speed than it currently rotates around the sun because the sudden disappearance of the gravitational pull would act as a slingshot and send us flying toward God knows where. As we did, we would begin to lose the light of the sign depending on the trajectory of travel. Whatever side of the earth happened to be pointing toward the sun would gradually dim as the earth moved further away. I haven't done the math, but I suspect we'd be in total darkness somewhere between 4 and 6 seconds. But that would depend on how long it took us to exit what once was the solar system.

Nevertheless, this was well done. I congratulate you.