The New York Republican is telling her GOP colleagues that she only intends to finish out the rest of this current term as conference chair if she is ultimately elevated to the No. 3 leadership position, according to multiple Republican lawmakers familiar with the conversation. Then, in the new Congress, she intends to seek the top job on the House Education and Labor Committee, those sources said. Stefaik’s pledge to limit her time in GOP leadership is just one of several assurances she is making to other House Republicans as she works quickly to lock down support for her leadership bid. While she is widely expected to clinch the post after embattled Conference Chair Liz Cheney likely gets the boot next week, some lawmakers on the far-right have grumbled about her voting scorecard. Other members of the conference have complained they feel boxed in by House Minority Leader Kevin McCarthy (R-Calif.), who is whipping members hard to support Stefanik.