Election 2024 updates: Michelle Obama to speak at DNC this week

Following her Tuesday night primary victory, Rep. Ilhan Omar told supporters: “We run the politics of joy, because we know it is joyful to fight for your neighbors."

“We know it is joyful to want to live in a peaceful and equitable world,” she added, per ABC News' St. Paul affiliate KSTP.

Omar also had harsh words for her main primary opponent Don Samuels, though did not mention him by name. “I hope that they reflect in the shameful way they decided to divide our district and the incredible people we are grateful to represent,” she said of her challengers.

-ABC News’ Oren Oppenheim, Brittany Shephard and Maci Smith

Rep. Ilhan Omar has won her Congressional primary in Minnesota, the Associated Press projected Tuesday night.

Omar's win follows defeats by two of her fellow squad members in their primaries – Cori Bush from Missouri, and Jamaal Bowman of New York.

Omar had been expected to win in her district despite a challenge from former Minneapolis city council member Don Samuels.

Bush lost her primary earlier this month to St. Louis County prosecutor Wesley Bell. He was backed by more than $8 million from the pro-Israel United Democracy Project.

Bowman lost to Westchester County Executive George Latimer in June. Per AdImpact, the race was the most expensive House primary on record, with most of the funding coming from the American Israel Public Affairs Committee’s (AIPAC) United Democracy Project PAC in support of Latimer. Latimer was recruited to run by AIPAC.

-ABC News' Tal Axelrod, Brittany Shephard and Oren Oppenheim

Minnesota Gov. Tim Walz, in his first solo campaign appearance, defended his military record and thanked his vice presidential opponent, Sen. JD Vance, for his service.

"I am damn proud of my service to this country," Walz said to applause at the AFSCME convention in California. "And I firmly believe you should never denigrate another person's service record. Anyone brave enough to put on that uniform for our great country, including my opponent, I just have a few simple words: thank you for your service and sacrifice."

Vance has repeatedly criticized how Walz has talked about his military record, which included 24 years in the Army National Guard before he retired to run for Congress in 2005. Vance served as a combat correspondent for four years in the U.S. Marine Corps.

Read more about Vance's comments and Walz's background here.

President Joe Biden on Tuesday, as he was departing the White House, said he would go to Trump's inauguration in January if he were to win this year's election.

"I have good manners, not like him," Biden told reporters after being asked if he'd attend. Trump did not attend Biden's inauguration in 2021.

Biden also defended his calling Trump "a genuine danger to American security," a comment he made during his CBS News interview over the weekend. Asked whether that contradicted his calls to cool heated political rhetoric, Biden shot back: "That's just a statement. That's a factual statement."

-Fritz Farrow