Sen. Joe Manchin (D-W.Va.) has come out against President Joe Biden’s unprecedented private sector vaccine mandate, joining Republicans in officially cosponsoring a bill that would overturn the rule. Manchin indicated that he was considering just such a move early Thursday afternoon. “I’ve been very supportive of the mandate for federal government, for military, for all the people that work on government payroll,” he told reporters. “I’ve been less enthused about the private sector.” “We’re working through it,” Manchin said noncommittally. Later the same day, Manchin announced that he had made his decision, saying that he would support Republicans in their effort to strike down the private sector mandate. Manchin noted in a Thursday evening statement, “I have personally had both vaccine doses and a booster shot and I continue to urge every West Virginian to get vaccinated themselves.” Still, the senator emphasized his opposition to any effort to impose vaccination …