Christie Brinkley’s lurid divorce trial came to an abrupt end when lawyers for her and her husband reached an out-of-court settlement that gives her sole custody of their two children. The settlement was reached after an all-night session that resolved all issues between Brinkley and her estranged husband, architect Peter Cook, Brinkley’s lawyer, Robert Stephan Cohen, told the court. Under the agreement, Brinkley will give Cook $2.1 million but keep 18 properties in the Hamptons that were at dispute. Cook will get time with the children, under an agreement mutually satisfactory to both. Cohen said the remainder of the settlement was confidential.”It’s to me a very bittersweet moment because it really is the death of a marriage,” Brinkley said after the settlement was announced in court. “I”m very pleased with the results today. I was here fighting for custody.” Brinkley was married to Cook for a decade before his affair with a teenager he met in a Southampton toy store catapulted their troubles into the public spotlight in 2006. The trial, which was in its sixth day, revealed a litany of salacious allegations about Cook’s affair with Diana Bianchi, who was 18 at the time, as well as interactive Internet sex liaisons that cost him thousands of dollars a month. Cook testified he gave Bianchi a $300,000 payoff after having trysts with her in his office and Brinkley’s Hamptons homes for several months in 2005.Brinkley said she was devastated to learn of the affair from the Bianchi’s stepfather, moments after she had delivered a commencement speech at Southampton High School.