By Eric Cox and Nathan Layne CINCINNATI, Ohio (Reuters) -Democratic U.S. Representative Tim Ryan will take on the winner of a hotly contested Republican primary for a U.S. Senate seat in Ohio that offers an early test of Donald Trump’s influence over his party as he considers running for the presidency again in 2024. Ryan, who ran a brief 2020 presidential campaign, won his Senate primary as had been expected, Edison Research projected less than an hour after the polls closed. Former president Trump upended the Republican Senate primary last month by endorsing author and venture capitalist J.D…