Does the conditional divorce formula, "If you work, you are thrice divorced," and "If you leave the house without my permission, you are thrice divorced," take effect if the wife violates both conditions?

The first and second messages are considered a suspension of the triple divorce on the wife's continuation of work and her leaving the house without permission. So, if she leaves for work without permission, she is divorced with a triple divorce according to the first message. Writing a divorce is not considered a divorce unless there is an intention or vocalization of it at the time of writing. If you intended divorce or vocalized it when writing the message, then she has become irrevocably divorced from you (baynunah kubra). If you intended to threaten and did not vocalize it, then the divorce has not occurred.