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Exclusive / Darline Graham eyeing a run for a full Senate term

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Appointed GOP Sen. Darline Graham indicated to the White House on Thursday that she may be interested in running for a full Senate term in South Carolina, according to three people familiar with internal party deliberations.

[Trump, pledge to Graham if she runs:] "complete and total endorsement" ... [describing the choice of Darline Graham as interim senator, as tribute to Lindsey Graham:] "a fabulous tribute"

[NRSC Chair Tim Scott, assessing Graham's prospects:] "has been off to a remarkable start" ... "seriously good fit for the state"

[Sen. Ted Cruz, on the race:] "Like many Republicans, I am waiting to see what the president decides, and watching with great interest,"

Additional facts: Trump encouraged Gov. Henry McMaster to appoint Darline Graham; she was sworn in Tuesday and by Thursday had co-introduced a Russia sanctions bill with Sen. Richard Blumenthal (D-Conn.); other potential candidates named at that point: Mace, Fry, Norman, Lt. Gov. Pamela Evette, former Rep. Mark Sanford; Tim Scott separately floated former Rep. Trey Gowdy as an "amazing senator"; Democratic nominee Annie Andrews has $4 million on hand.