The number of candidates vying to replace longtime representative Jerry Nadler just keeps growing.

George Conway, the high-profile lawyer (and former Republican), announced his plans to run in the Democratic primary for the open seat in New York’s 12th Congressional District, which spans midtown, the Upper West Side, and the Upper East Side.

There are now nine people in the race, which already includes:

• State assemblyman and former Nadler aide Micah Lasher, who is viewed by many as the representative’s heir apparent (and front-runner)
• State assemblyman Alex Bores
• Gun-control advocate Cameron Kasky
• Kennedy scion Jack Schlossberg
• Journalist Jami Floyd
• Former Merrill Lynch managing........

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