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U.S. Sen John Barrasso, right, greets supporters Tuesday, Aug. 20, 2024, in Casper, Wyo, after beating Reid Rasner in the state's Republican primary. (Andrew Towne/The Casper Star-Tribune via AP)

U.S. Sen John Barrasso, right, greets supporters Tuesday, Aug. 20, 2024, in Casper, Wyo, after beating Reid Rasner in the state's Republican primary. (Andrew Towne/The Casper Star-Tribune via AP)

U.S. Sen John Barrasso, right, greets supporters Tuesday, Aug. 20, 2024, in Casper, Wyo, after beating Reid Rasner in the state's Republican primary. (Andrew Towne/The Casper Star-Tribune via AP)

U.S. Sen John Barrasso, right, greets supporters Tuesday, Aug. 20, 2024, in Casper, Wyo, after beating Reid Rasner in the state's Republican primary. (Andrew Towne/The Casper Star-Tribune via AP)

FILE - Sen. John Barrasso, R-Wyo., speaks with reporters on Capitol Hill in Washington, July 9, 2024. (AP Photo/Cliff Owen, file)

FILE - Sen. John Barrasso, R-Wyo., speaks with reporters on Capitol Hill in Washington, July 9, 2024. (AP Photo/Cliff Owen, file)

FILE - Rep. Harriet Hageman, R-Wyo., arrives to meet with fellow Republicans behind closed doors as Republicans hold their leadership candidate forum, in Washington, Nov. 14, 2022. (AP Photo/Mariam Zuhaib, file)

FILE - Rep. Harriet Hageman, R-Wyo., arrives to meet with fellow Republicans behind closed doors as Republicans hold their leadership candidate forum, in Washington, Nov. 14, 2022. (AP Photo/Mariam Zuhaib, file)

U.S. Sen John Barrasso, right, greets supporters Tuesday, Aug. 20, 2024, in Casper, Wyo, after beating Reid Rasner in the state's Republican primary. (Andrew Towne/The Casper Star-Tribune via AP)

U.S. Sen John Barrasso, right, greets supporters Tuesday, Aug. 20, 2024, in Casper, Wyo, after beating Reid Rasner in the state's Republican primary. (Andrew Towne/The Casper Star-Tribune via AP)