Is a wife considered irrevocably divorced (طلاقًا بائنًا) if she leaves after you swore an oath of divorce upon her, claiming she had sought permission beforehand and that the intention of the oath was to threaten?

The husband's statement to his wife, "You are considered divorced" if she leaves without permission, is a conditional divorce (ta'liq al-talaq). This wording falls under ambiguous expressions (kinayah), and the occurrence of divorce depends on the husband's intention. If the husband did not intend divorce by this statement, then it does not occur upon her leaving without his permission. Since the husband has previously divorced his wife twice, they must avoid problems and refrain from uttering divorce, and he must control his anger.