Extracting elevation from a TIN file with a point shapefile overlay

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I have a TIN file that was built off of contour polyline shapefile (I think). I have a point shapfile with a few points.

How can I extract elevation of the TIN file where the points occur? I am using ArcMap with python automation. Any free software would be welcome as well. Perhaps a transforming of the TIN to another file type is needed. Thanks.



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