TOKYO (Reuters) - Asian stocks rose on Tuesday, bolstered by Wall Street's record closing highs and signs of new momentum in Beijing's and Washington's efforts to end their long and acrimonious trade dispute.MSCI's broadest index of Asia-Pacific shares outside Japan rose 0.5% to a one-week high. Australian shares were up 0.9%, while Japan's Nikkei stock index rose 0.91%.Shares in the region extended gains on Tuesday after Beijing said Liu He, China's Vice premier and chief trade negotiator,..