You are correct, but unless I did something wrong, the link does not seem to list any parts for sale. I might be out of luck due to the age of the table :(
I am not sure how to find that, but it is the exact one from this post: https://forum.allaboutcircuits.com/threads/air-hockey-scoreboard-not-working.176480/
Sorry to necro an old thread, but is it possible to buy a replacement board at all? I recently moved and the board broke in half. I am unable to get it back together again.