Plot lat/long pairs on a US state map

Question

I have a list of lat/long coordinates. I'd like to plot them on a US state (say New York). These coordinates include locations outside New York, but I'd like to get a map of just New York with these points shown.

I used an answer from How do I plot coordinates (latitude and longitude pairs) on a geographic map? that allows me to plot these on the US. It limits the US by using

 coords = CountryData["UnitedStates", "Coordinates"];

I tried using

coordsNY = 
  Entity["AdministrativeDivision", {"NewYork", "UnitedStates"}][
   "Cooridinates"];

But this seems to only give me one point - perhaps the centroid of the state?

Clearly I don't really understand the answer that I was trying to copy. Perhaps there's another way to plot points on a specific US state.