According to this story, an individual voter in New Mexico has filed a lawsuit in state court, alleging that the party is not a major party.
The party polled 7.08% in November 2020 for Judge, Court of Criminal Appeals. The candidate, Stephen Curtis, received 62,547 votes. The law says a major party is one in which “any candidate” polled as much as 5% of the total vote cast in the state for President or Governor. In 2020 the total presidential vote was 923,965. Five percent of that number is 46,199, so it seems obvious that the party met the vote test for major party status. The law also requires a major party to have registration of at least one-third of 1%, but the Libertarian Party has .94% of the registration. Thanks to Rick Lass for the link.