I always think there is the chance for a happy ending once someone has admitted they have a problem and agree to getting help.
That’s not to say there might not be difficulties along the way and it might take a lot of invested time and support but it’s not impossible.
Being honest, I wouldn’t necessarily say his reply means it’s the beginning of his recovery. You could tell him that you are willing to support him with going to his GP or to an alcohol service and see if he is ready for that?
If he is ready, you could move forward from there and then there is a light at the end of the tunnel