Standing inside the Capitol for the National Prayer Breakfast on Thursday, President Trump declared his plans to resurrect an idea he had in his first term: to create a national garden filled with statues of notable Americans.

The choice of who would be included would be “the president’s sole opinion,” Mr. Trump said, chuckling. And he was giving himself “a 25-year period” to make the selections.

A short time later, at a breakfast at a Washington hotel, Mr. Trump flicked again at the prospect that his time in office could extend beyond two four-year terms.

“They say I can’t run again; that’s the expression,” he said. “Then somebody said, I don’t think you can. Oh.”

Just eight days after he won a second term, Mr. Trump — whose supporters attacked the U.S. Capitol on Jan. 6, 2021, in an effort to prevent Joseph R. Biden Jr.’s victory from being certified — mused about whether he could have a third presidential term, which is barred by the Constitution.