The phrase "take center stage" means to step into the spotlight or to take a prominent or leading role in a particular situation or event. It suggests that someone is assuming a position of prominence, visibility, or importance, much like a performer who is standing at the center of a stage, drawing attention and focus to themselves.
Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: Assume the spotlight. Explanations are generated by AI and may be inaccurate.