The best way to understand this is to look at this thread where I explained your situation last year:
I was convicted with being in charge of a vehicle whilst unfit and this ban is soon coming to an end. Previously I was charged with not providing a specimen and was classed as a HRO - am I still classed as a HRO?, how long does being a HRO last, I have read that if you have 2 drink driving...
www.forum.drinkdriving.org
In a nutshell, you will not trigger the minimum 3 year ban for this offence, because you have not had 2 disqualifications in 10 years, that is the criteria for the court.
But DVLA will take the view that you have 2 Drink drive ‘related’ convictions in 10 years and they will treat you as a HRO and require a medical at the end of the ban.