US President Donald Trump says "it's too bad" he's not allowed to run for a third term, conceding the constitutional reality even as he expressed interest in continuing to serve.

"If you read it, it's pretty clear," Trump told reporters aboard Air Force One enroute from Japan to South Korea. "I'm not allowed to run. It's too bad."

The president's comments, which continue his on-again, off-again musings about a third term, came a day after House Speaker Mike Johnson said it would be impossible for Trump to stay in the White House.

"I don't see a path for that," he told reporters at the US Capitol on Tuesday.

Johnson, the Republican leader who has built his career by drawing closer to Trump, said he had discussed the issue with the president.

The speaker described how the Constitution's

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