After the institution’s board declared it the Trump Kennedy Center, a lot of signage around the building is in the midst of a makeover.

The president issued a raft of clemency grants this week, including pardoning a woman he had given relief to once before and a man whose daughter had donated millions to a Trump super PAC.

President Trump has María Corina Machado’s medal, but he is not recognized as the prize laureate. Ms. Machado did not win Mr. Trump’s endorsement to become Venezuela’s president.