Rep. Liz Cheney (R-Wyo.), who was ousted from her House Republican leadership position this week, said on May 13 that she won’t leave the GOP and didn’t rule out a run for president. In an interview with “Today,” Cheney, the former House GOP Conference chair, was asked several times about whether she wants to run for president in 2024 to prevent former President Donald Trump from winning the presidency again. “I’m going do everything that I can—both to make sure that that never happens, but also to make sure that the Republican Party gets back to substance and policy,” Cheney said, adding that she will “absolutely” seek reelection to Wyoming’s lone House seat in 2022. Cheney, the daughter of former Vice President Dick Cheney, also said that she won’t leave the Republican Party. House Republicans stripped Cheney of her leadership role in a May 12 voice vote, following her repeated …