Is it permissible for a husband to take back his wife after she was divorced three times under duress and threat, knowing that his intention was for only one divorce?

If the wife did not stipulate to you before marriage that she would not move from her country, then she has no right to refuse to move with you, as long as the dwelling is suitable and the residence is safe. And if her father prevents her from doing so and compels her to seek divorce without a legitimate reason, then he is unjust, and it is not permissible for your wife to obey him. As for the divorce you initiated by your choice, it is effective. To clarify the judge's ruling and its implications, you should consult one of the trustworthy scholars in your country in person.