My wife and I had a heated discussion on whether the move below was permissible under the official Scrabble rules. In this case, I added the letters O, I to form OE and OI. She claims it was a double movement, as OE was permissible because it was attached to the ending of MAZE, but OI was not permissible because I is attached to a word I just created hence the double movement. She claimed that if I wanted to add additional letters it can only be in the horizontal direction as it’s attached to the original word on the board being MAZE.
I claimed it was permissible as I went in one direction (vertical) whilst creating a word that was originally on the board being MAZE.
Can you please confirm whether my move was permissible?