Four Takeaways From Tuesday’s Elections

In the Republican primary for Georgia secretary of state, Brad Raffensperger won an outright victory over Representative Jody Hice, whose wholesale embrace of Mr. Trump’s conspiracy-mongering about the 2020 election was not enough to force a runoff.

The incumbent in the Republican primary for attorney general, Chris Carr, brushed off a feeble challenge from John Gordon, a lawyer who had represented Mr. Trump’s bogus election-fraud claims in court. Mr. Raffensperger may have had help from Democrats, thousands of whom reportedly crossed over to vote on the Republican side.

“Not buckling under the pressure is what the people want,” Mr. Raffensperger said on Tuesday night at his election watch party.

That said, few Republican candidates who have forthrightly denounced Mr. Trump’s lies about 2020 have survived elsewhere.

In Ohio, the one Senate candidate who did so, Matt Dolan, finished in third place. In Pennsylvania, the Republican nominee for governor, Doug Mastriano, was deeply involved in Mr. Trump’s plot to overturn the state’s 2020 results, while the two leading Senate candidates, Dr. Mehmet Oz and David McCormick, have equivocated about whether Mr. Biden was fairly elected.

Representative Mo Brooks, an erratic, hard-right congressman who was once one of Mr. Trump’s staunchest supporters in Congress, gained notoriety for wearing body armor to the “Stop the Steal” rally on the Ellipse on Jan. 6, 2021.

But Mr. Brooks came in second place in the Republican primary for Senate in Alabama to Katie Britt, who ran a campaign tightly focused on local issues and will now face Mr. Brooks in a runoff election next month. Even so, Ms. Britt told reporters she would have objected to the 2020 election results had she been in office at the time.