Not true. The course can be retaken within the three years to remove any newly accumulated points. You can probably also have insurance update their information so that your rolling three years starts again with the retake date.
You can take the test as often as you want, but according to DMV: (http://www.dmv.ny.gov/broch/c32a.htm)
Points (four (4) points) may be reduced only once in any 18-month period. I’m glad that you’ve challenged that, otherwise I wouldn’t know that its 18 months not a whole 3 years
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