Is it permissible to reconcile with one's wife after divorcing her for the third time if the husband was extremely angry at each divorce?

If the marriage was conducted without a guardian (wali) or witnesses, it is invalid, and repentance is obligatory. The contract can be corrected by fulfilling the conditions and pillars. It is not necessary for the wife to marry another man (tahlil) because the divorce is not considered valid. However, if the marriage was conducted with a guardian and witnesses but was not documented, then the marriage is valid and the divorce is effective, and she is not lawful for him until she marries another husband.