Does general relativity let light travel faster than C, or only in coordinate speed?

In the local frame light goes C; that is granted. We geocentrists hold that light has a speed limit of 186,000 miles per second, and near the earth that is what we measure. Light has that limit because it is a transverse wave: the electric part oscillates up and down and the magnetic part with it, and that mechanism can only work so fast, so it is mechanically limited. General relativity says that is only the local environment, and that is the only one you have ever measured; you have not measured the speed of light out where Betelgeuse is. In the geocentric frame, all our local bodies, earth, Mars, Saturn, the sun, are near the center of the universe, where there is hardly any rotation, but the farther out you go the faster the universe rotates, so at the rim it is superluminal. That kind of environment, full of enormous inertial forces, disrupts general relativity and forces the light to go faster there, which is exactly what ChatGPT acknowledged when I pressed it: to make light superluminal you have to adjust the figures and build that environment. But you cannot then say it did not really happen; if you concede that light can go faster once you set up the coordinate system, you have to believe it as much as you believe the local environment, otherwise you do not have relativity, you have something you made up. They wanted a mediumless environment so light could work by itself, but neither classical physics nor quantum mechanics allows that, which is why Einstein took back his ether in 1920 and admitted light needs a medium, only not a moving one.