Is it permissible to offer greetings of peace to a Kitābī (People of the Book) wife?

"Giving greetings of peace to a disbeliever for a legitimate benefit is permissible. However, initiating them with the phrase 'Assalamu Alaikum' is a matter of dispute. If there is a benefit in giving greetings of peace to a disbelieving wife, such as winning her over, then it is preferable to give her greetings of peace, and she can be greeted with other phrases. As for giving greetings of peace to the اهل البيت (Household of the Prophet) or others who mix with Muslims and non-Muslims, it is permissible."