Can anyone help me with what goes wrong with the following Moon paradox thought experiment ?
You all know the faster than light (FTL) Moon "paradox": send a beam to the moon through a "hand laser," and swipe the laser sufficiently fast from some point $A$ to some point $B$ on the lunar surface.
The beam can then easily made to move faster than light on this trajectory.
But it is not a paradox, since no actual photon travels that way, and no information is passed from $A$ to $B$.
But what if we change the experiment a little: call the person with the laser "Angie" and an observer on the moon "Billy."
Suppose Angie swipes the laser very fast from $A$ to $B$, or suppose she draws a little letter, or symbol. (The swipe from $A$ to $B$ could be a symbol for some letter.)
She can do this such that the symbol is drawn faster than the speed of light.
If Billy observes this symbol, it seems at first sight that he gets the information FTL.
What goes wrong ?