Businessman Vivek Ramaswamy has won Ohio’s Republican primary for governor, NBC News projects, advancing to what could be an expensive and competitive general election in a state that has been brutal for Democrats in recent elections. Amy Acton, a former state health director, won the Democratic nomination Tuesday without opposition. Ramaswamy, 40, defeated Casey Putsch, a political novice known for his “car guy” videos on YouTube. Putsch’s campaign played out largely through social media missives, some of them targeting Ramaswamy’s Indian American heritage. A third GOP candidate, Heather Hill, was removed from the ballot under a provision in state law after her running mate for lieutenant governor withdrew from the race. “I know the American Dream exists because I’ve lived it right here, in the state where I was born and raised,” Ramaswamy said in a statement after his victory was called.…