A few more courts first, the NY supreme court is the lowest court in the state
It is absolutely not the lowest. It is the highest regular court, with only the appelet court above it. But the appelet courts do not rule on the content of the trial they are only ruling on whether all the laws were followed durimg the trial. It is not a retrial, it is a procedural technicality.
The lowest level of the New York state court system consists primarily of the New York Supreme Courts, the New York County Courts, the New York City Courts, and the New York Town and Village Courts. The Supreme Courts are trial courts with general jurisdiction over civil and criminal cases
Your definition lumps literally all courts into one singular level with the exception of the appelet court.
There is no "lowest level" there. It makes no sense.
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