The hotel order is wrong and cannot be cancelled. How can I apply for a refund?

If you don't write and can't cancel, you can return it. You can't return it if you write it. Non-cancellable rooms are usually cheaper than cancellable rooms. As long as you make a reservation, there is no refund whether you check in or not. Because the hotel reserved a room for you, you lost the opportunity to sell it to other customers before that.

Making mistakes is your personal problem. You are the breaching party and must bear the responsibility for breach of contract. How much to bear can be discussed with the hotel. I still hope to check carefully before placing an order, and don't place a wrong order.