More facts are required before any lawyer could provide you with a definitive answer.
If you Google the internet for your question there are quite a number of posts which are inaccurate or wrong.
See this attachment:
https://dol.ny.gov/system/files/documents/2022/01/osh-te-2022-2023-rfp-clean-01.31.22-1_0.pdf
I believe your answer may be found on page 5.
The caution here is that if you deny an employee wages to "suffer labor", meaning for your benefit, you do so at your own risk. If, on the other hand, the training is broadly applicable, maybe, depending on the position, a CPR certificate, it might be for the employee's benefit which benefits you as well. Whoever provides you with an opinion, on this issue, which this certainly is not, should charge you because providing the incorrect one could cost you dearly. Good luck. Not legal advice.
Answered on Feb 17th, 2022 at 8:24 AM