Does a divorce take effect with the statement, "If you contact this neighbor, you are divorced," said with the intention of deterring the wife, followed by her making the call?

Conditional divorce takes effect upon the fulfillment of the condition, and this is the preponderant opinion. Since this is the final divorce, your wife has become unlawful for you, and she will not become lawful for you until she marries another husband in a valid marriage, and he then divorces her after consummating the marriage. Your statement: "You are now divorced" does not necessitate anything. You are obligated to provide for your male child until he reaches maturity, is rational, and able to earn, and for your daughter until she marries, along with providing suitable housing for them for the duration of the obligation to provide maintenance.