State lawmakers are proposing a bill that would allow the New York City Council to remove a sitting mayor with a three-fourths vote after a public hearing. Meanwhile, the city’s Department of Transportation is kicking off National Bike Month with events across the five boroughs. Also, the Knicks clinch a spot in the second round of the NBA playoffs after edging out Detroit. Plus, on this week’s transportation segment: Amtrak tunnel repairs, a looming NJ Transit strike, and the MTA begins testing new subway fare gate designs to fight evasion.