The New York hearing is set for midday (1700 GMT).
Since the U.S. Supreme Court rolled back the constitutional right to abortion in 2022, nearly half of U.S. states have banned or severely restricted the procedure, driving a surge in medication abortion - now used in more than 60% of abortions nationwide.
Supporters of U.S. President Donald Trump have largely praised the capture of Venezuelan leader Nicolas Maduro as a swift, painless win, though political analysts warn support could wane if the operation drags on and echoes past foreign interventions.