Prince Andrew and Virginia Roberts Giuffre have reached a settlement in her sex abuse lawsuit against him — sparing potentially embarrassing details about the embattled royal from ever being made public. The sum of the settlement will not be publicly disclosed, according to papers filed Tuesday in Manhattan federal court. But a source told The Post estimated total is $12 million. Giuffre and Prince Andrew will file a stipulation to dismiss the case within the next month, according to the court papers, which were filed jointly by both parties. In an unsigned letter submitted as an attachment to the settlement...