/\ way to post without reading.
Honestly if you admit you need help there is no shade in revealing your addiction in fact besides the addiction looking as a weakness you bravery, courage, and willpower to come fourth about it really means a lot. Seriously it is a losing battle to go against addiction alone although not impossible.
Also don't mix up morbid thinking ("wish I was never born," "I wish my life was just over)
with suicidal ideation (" I should end my life because... " "I wish I could end my life"
Or actual suicidal intent (Any plans to end your life such as benzo overdose)
While the hospital is there I would be very careful about going to them for mental health support, but if you are getting past suicidal ideation into the territory of intent go to the hospital and request a volunteery psych hold, but be aware you will not be able to leave easily with the issues you have that you need to be honest about to get help with. As long as you dying become demanding, dismissive, or anything and give the doctors the time to assess and rule out some things that make you feel uncomfortable being asked about yet should not stress about as it is all standard practice.
If it is not that bad just tell your doctor you've been told that you have been recommended to ask for help by a friend who recognized morbid thinking and depression when you takes about your life stress and how you wish it would just go away or that you were never born. It can get your foot in the right door to rcpdue service without raising the red flags you're worried about.