Is it permissible for the husband to take back his divorced wife after her waiting period has ended if the divorce was a Khul’ (dissolution of marriage at the wife's instance) despite her unwillingness for the Khul’, and is it legally possible to change the type of divorce from Khul’ to an irrevocable divorce?

Divorce in exchange for the wife waiving one of her rights against her husband is considered Khul (a type of divorce initiated by the wife), and it is an irrevocable divorce, meaning the husband is not permitted to take his wife back except with a new marriage contract. The judge's ruling of divorce also becomes irrevocable, even if it was not Khul.