I have to add, that the rules on the Rio Grande site are not at all clear on this, it says to "move a piece from a dot to a free spot." When you get to no. 3 in the rules it finally says you can only move one spot at a time, but it's not what that move is. Thanks for clearing this up..
Yeah that should read "to an adjacent free spot".
By the way, one of my pet peeves has for a long time been the use of the word "push". The game is often compared to Abalone, and I have often observed players simply trying to push a whole line of pieces into the board with the new piece (this makes a mess).
An introduction actually happens from the end of the moved line outward to the new piece: you shift them one by one until there is room for the new piece. When we used to play tournaments I was even scolded for moving several pieces at once, it had to be one by one! Nowadays I get away with it though.