Ihram from al-Tan'im after intercourse between the two exits

Question:
Honorable Shaykh, I am confused by the statement of the author of *al-'Uddah* and the author of *al-'Umdah*. They say: "If the intercourse in the private parts occurred after the first exit from ihram, then a sheep is due, and he must enter ihram from al-Tan'im to perform tawaf while in a state of ihram." Why is he commanded to enter ihram anew, even though he has already performed the first exit from ihram and was permitted to wear sewn clothing? And if he had performed the tawaf of the time, would it be sufficient?

Answer:
And it is mentioned, even in *Mishkat al-Zad*, not just in *al-'Umdah*. In *Mishkat al-Zad*, they say that because he had intercourse, it is as if the first ihram was affected, so he enters ihram anew to perform the correct act with an ihram that removes the effects of the intercourse, removing the effects of the intercourse. And this is not obligatory. Did some scholars consider it preferable? Is that correct or incorrect?