On May 26, the Nevada Republican Party filed a lawsuit in state court, asking that the Secretary of state be prevented from holding a 2024 presidential primary for the Republican Party. Nevada Republican Party v State of Nevada, 1st jud. dist., Carson City, 23-0000051-1B. The Nevada Republican Party would rather use a caucus. The presidential primary for qualified major parties was passed by the Nevada legislature in 2021.
In Arizona in 1996, a state court ruled that if the Democratic Party and the Libertarian Party didn’t want the state to hold presidential primaries for them, they had a Freedom of Association right to tell the state not to hold such presidential primaries. That case was Arizona State Democratic Committee v Hull, Maricopa County Superior Court cv96-909. That is the only precedent from any state on this issue.
Here is the Nevada Republican Complaint. Thanks to Derek Muller for the link.