New Amsterdam became the City of New York after the British took control.
George Clinton was the governor of New York from 1777 - 1795 & 1801 - 1804, therefore he was the governor of the colony of New York, the state of New York under the Articles of Confederation and after we ratified the U.S. Constitution.

Here's a related question. What was the relationship between George Clinton and Dewitt Clinton?
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I stand between the candle and the star.We are Grey.We stand between the darkness and the light.