this game was one of the SMILE software programmes (as 'Elephant' I think - on Microsmile, first 30)
NRICH have a (find the giraffe) software version
it seems better, initially at least, for students to call out coordinates to each other
the game can lead to some work on 'Manhattan metric' geometry:
which points are 3 away from (4, 4)?
which are equidistant from (1, 5) and (5, 1)?
find points (P) so that the distance away from (2, 3) add the distance away from (6, 3) is 8
the game can also be played with negative coordinates