@god_vulcan: the concept of here needing prep to teleport them across that distance is dismissed by the fact that she casually teleported ban across same distance with a finger snap. She made the portal as obviously she wasn't there to teleport them personally. not to mention it is still an extension of her spatial ability which includes her teleportation.
Why would she teleport an already sleeping ban to the gate when she said he could complete his sleep in liones. Except you expect ban to sleep walk to the gate. She was obviously sending him straight to liones.
Her radius is her range. Heck she proved this when she teleported mel to the base of the commandments at Edinburgh and back. Her range = her radius = her sphere of spatial influence.
In your scan she even says hher "spell effect radius" i.e. the range within which her spell can have effect which is obviously several hundred miles as merlin casually teleports people across that distance.
The fact that her range is hundred of miles does not mean or imply that she can teleport a whole country. It means she can teleport persons or objects across one which is what she consistently showed.
I don't get how you can say her radius (which again is same as her range) is only a couple of meters when your own scan literally says it's several miles.
not to mention, here is a more accurate translation of what occured;