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Unfortunately, once a medical suspension is issued on your license, this is an administrative issue as a drivers license is considered a privilege and not a right.
You will need comply with their terms I am afraid or they will refuse to issue the license and they can legally prevent you obtaining a license in any state by placing a block on your license. I am afraid that legally they can hold the license because you had a reported substance abuse problem, not just because you admitted to drinking and driving in the past and they have to demonstrate to them there was no longer a substance abuse problem and that is why they are looking for a clean blood sample.
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