What is the ruling of the Sharia on a wife who refuses conjugal relations and leaves the marital home without her husband's consent, and what should the husband do in this case? Is he permitted to marry another and leave her in suspense, or divorce her in exchange for her waiving her claim to the marital apartment?

If the wife recovers from her mental illness, possession, or magic, then it is better to take her back and live with her kindly, forgiving what has emanated from her. If you do not desire her, then you should divorce her kindly and not leave her like one suspended. If you dispute over her rights, then the place for that is the Sharia court. Divorce is not a trivial matter and should only be resorted to when reconciliation becomes impossible. Living together and cohabiting kindly is better than separation, especially with children present. Masturbation is forbidden, and its prohibition is more severe for the married person.