When incumbent Republican representative Danny Eyre announced his retirement, Conrad declared his candidacy and won the Republican primary on August 16, 2022 with 44% of the vote, defeating future acting Wyoming Secretary of StateKarl Allred and candidate Andy Stocks.[2] He then won the general election on November 8, 2022, defeating Democratic nominee Sarah Butters and write-in Republican candidate Joe Webb, who was endorsed by the Uinta County Republican Party[3] with 57% of the vote.[4]