Asia-Pacific markets were set to climb Wednesday, after Wall Street traded mixed on hopes that the record-setting U.S. government shutdown could be nearing an end and AI trade stumbling. Japan's benchmark Nikkei 225 index was set for a higher open, with its futures contract in Chicago trading at 51,190, and its counterpart in Osaka at 51,110, against the index's Tuesday close of 50,842.93. Australia's S&P/ASX 200 was flat. Futures for Hong Kong's Hang Seng Index pointed to a slightly higher