The ruling on the prayer of the congregation if the imam errs in his intention

Question:
The imam of a mosque said the takbir for the midday prayer, but he had intended the afternoon prayer. The congregation said the takbir behind him. Then, immediately after his takbir, he remembered that the time was for the midday prayer, so he repeated the opening takbir after the congregation had already said theirs, while the congregation continued their prayer. His question is: Does the imam have to make up anything? And is the prayer of the congregation valid?

Answer:
Because it is obligatory for him to turn away. He turns away and says the takbir, repeating the takbir for the midday prayer, correcting the mistake that occurred on his part. Yes.