BY MATTHEW LEE/The Associated Press BEIJING (AP) — U.S. Secretary of State Antony Blinken met on Monday with Chinese President Xi Jinping and said they agreed to "stabilize" badly deteriorated U.S.-China ties, but America's top diplomat left Beijing with his biggest ask rebuffed: better communications between their militaries. After meeting Xi, Blinken said China is not ready to resume military-to-military contacts, something the U.S. considers crucial to avoid miscalculation and conflict, particularly over Taiwan. Still, China's main diplomat for the Western Hemisphere, Yang Tao, said he thought Blinken's visit to China "marks a new beginning." "The U.S. side is surely…