Yes 'tai shogi' and 'dai dai shogi' have a 'lion dog', which moves 1-3 squares on the queen lines.
Both these games are thought to be from the 15th century, if not earlier.
You can call these games war games, but in essence, they really are chess variants i would say.
I am guessing you did not know about this piece?
I don't know why you would copyright a piece like this, are you meaning you have copyrighted the name 'dragon' for a piece moving as you give?
Or copyrighting the name 'dragon'?
The chances of someone making a game calling a piece 'dragon' and giving it the moves of a 'lion dog' are probably a million to one.
I will be releasing a zrf to showcase many shogi pieces from the ancient shogi variants, the 'lion dog' is included, hope i'm not breaking the law (lol).