I also get the wrong answer with GPT 4
https://chat.openai.com/share/4373c945-88b8-4742-8a2c-76fff2...
> You should push the door. The word "push" written in mirror writing indicates that the instructions are intended for someone on the opposite side of the door from where you are standing. Since you can see the mirror writing from your side, it means the text is facing the other side, suggesting that those on the other side should push. Therefore, from your perspective, you should also push to open the door.