I don't think he will be successful. I saw this, but it wasn't cited properly so I can't go back and check if that's the actual language...
(a) To be entitled to have the names of its nominees placed on the general election ballot, a political party required to make nominations by convention must file with the secretary of state, not later than the 75th day after the date of the precinct conventions held under this chapter, lists of precinct convention participants indicating that the number of participants equals at least one percent of the total number of votes received by all candidates for governor in the most recent gubernatorial general election. The lists must include each participant’s residence address and voter registration number.
(b) A political party is entitled to have the names of its nominees placed on the ballot, without qualifying under Subsection (a), in each subsequent general election following a general election in which the party had a nominee for a statewide office who received a number of votes equal to at least five percent of the total number of votes received by all candidates for that office.
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