SIOUX FALLS, S.D. (AP) — South Dakota Gov. Larry Rhoden announced Tuesday he is joining the crowded Republican race for governor next June. He’s seeking a full term after taking over the state’s top office in January when former Gov. Kristi Noem joined the Trump administration as Homeland Security secretary. Rhoden spent six years as lieutenant governor and faces a slew of challengers, including U.S. Rep. Dusty Johnson. In the majority red state of South Dakota, the winner of the Republican