During an interview with Turning Point USA President Charlie Kirk this week, Lake spoke about speculation that she would run for Arizona's Senate seat in 2024. That would pit her against Sen. Kyrsten Sinema (I-Ariz.) and Rep. Rueben Gallego (D-Ariz.), who recently announced he would be running for the seat. A former Democrat, Sinema announced last year she would switch to be an independent.

Asked by Kirk on Monday if she's "entertaining" a run for Sinema's seat, Lake said, "Yes, I am entertaining it. I mean my number one priority is our court case, and I have full confidence in our court case and I hope we will get a judge to do the right thing.

"But I'm also looking at what happens if we don't get a decent ruling in that, and they want me to go away, they want our movement to go away," Lake said. "I represent we the people, and if they want us gone so badly that they're willing to steal an election then I'm not going to let them have that, I won't go away."

Further, Lake said that she viewed "internal polling" that showed she would have a good chance of unseating Sinema or defeating Gallego. It's not clear if Sinema, who was first elected in 2018, is planning to run for reelection, and she has made no public comments in response to Lake's or Gallego's criticisms of her.

Gallego, meanwhile, announced that he would run for Senate in January. Since then, both he and Lake have repeatedly sparred with one another on Twitter and in public appearances.