As Meredith has noted, Biggs is one of the House GOP’s best chances yet to add a new woman to their caucus. However, I wonder if she will even stay in the race for the June 25 runoff. As David Bernstein notes on BlueSky, twice so far this year (in North Carolina’s 6th and 13th), a Republican candidate has made it to a runoff against a candidate endorsed by Trump only to drop out of the race because they faced such low odds of winning.

—Nathaniel Rakich, 538

The AP is projecting the GOP race to replace retiring Rep. Jeff Duncan in South Carolina's 3rd District will go to a runoff, with pastor Mark Burns and Air National Guard Lt. Col. Sheri Biggs squaring off. With 85 percent of the expected votes counted, Burns currently leads with 32 percent of the vote, with Biggs tailing him with 29 percent of the vote. With those margins, it's anyone's race in two weeks!

—Kaleigh Rogers, 538

With 20 percent of the expected vote in, the Associated Press is projecting that Armstrong will win the North Dakota Republican gubernatorial primary, with 67 percent of the vote so far, compared to Miller's 33 percent. It's a quick result for such a contentious race, where the candidates shared many agreements over policy. Armstrong is likely to triumph over Piepkorn in November in this very red state (although we don't know who would win a singing contest.)

—Monica Potts, 538

Only about 17 percent of the expected vote is in for North Dakota's At-Large Congressional District Republican primary, but the Trump- and Burgum-endorsed Fedorchak has opened up an early lead with about 44 percent of the vote so far, according to the AP compared to Becker's 31 percent. As Geoffrey noted in his race preview, a third candidate, Balasz, technically has the endorsement of the state GOP due to a rebellion by Becker supporters upset that he was ineligible for endorsement; Balasz only has about 5 percent of the vote so far.

—Monica Potts, 538

North Dakota Gov. Doug Burgum's retirement has precipitated an expensive and increasingly ugly Republican primary for governor between Rep. Kelly Armstrong and Lt. Gov. Tammy Miller. Armstrong is more familiar to voters, having served in Congress since 2019, while Burgum tapped Miller as his new lieutenant governor in December 2022. Both candidates have thrown around large sums of their own money: Based on financial reports though May 2 and large donations reported through June 7, about $3.8 million of the $4.2 million Miller has reported raising has come out of her own pocket, while Armstrong has self-funded almost $1.3 million of the $3.4 million he's collected.

Armstrong is the front-runner, having garnered endorsements from Trump and the state GOP. He also held a clear lead in three different surveys conducted in May, all of which showed him receiving close to 60 percent while Miller only attracted around 20 percent. Looking to gain ground, Miller has tried to link herself to Trump and Burgum, who's endorsed her. She's also run negative ads against Armstrong, including one that Rob Port of InForum described as "the most brutal" he'd seen in North Dakota that accuses Armstrong of insider trading and defending a child molester when he was a lawyer. Armstrong's campaign called the insider trading claim a lie, and the victims in the molestation case called for Miller to stop running ads about it. And Armstrong isn't without his own ad controversy, as his campaign ran a spot against Miller that included a citation from an artificial intelligence news website, which prompted Miller to criticize Armstrong for running "fake news" about her record.

—Geoffrey Skelley, 538