* Leaders meet in Tokyo, set to visit US naval base * Shipbuilding, soybeans, gas on the agenda, sources say * Takaichi plans to nominate Trump for Nobel Prize – media report * Trump eyes trade deal with China after Japan visit * Reuters Live: (Updates with Trump and Takaichi comments in paragraphs 7-8, detail on critical minerals deal in paragraph 16) By Trevor Hunnicutt, Tim Kelly and John Geddie TOKYO, Oct 28 (Reuters) – U.S. President Donald Trump met Japan's new prime minister, Sanae Takaichi, in Tokyo on Tuesday for talks on trade and security, praising her elevation as the country's first female leader and her pledge to accelerate a military buildup. Takaichi is expected to offer a package of U.S. investments in a $550-billion deal agreed this year, including shipbuilding, and incre

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