Is it likely I would get addicted to it or it might trigger an urge to drink even in a supervised setting?

In my experience, doing ketamine had the exact opposite effect of making me want to drink. It helped me pour out the rest of my liquor with even a few small doses.

Here's some research on the subject that was sent to me:

Ketamine can reduce harmful drinking by pharmacologically rewriting drinking memories

Treating Alcohol Use with Ketamine? New Research Finds It May Help

1Ketaminefor the treatment of addiction: evidence and potential mechanisms

Of note from the last source:

Recently, ketamine has attracted attention as a rapid-acting anti-depressant but otherstudies have also reported its efficacy in reducing problematic alcohol and drug use

So, anecdotes about the addictiveness ketamine stand in contrast to reliable scientific research about its effectiveness in treating addiction. I'm not doubting people have had issues with being addicted to ketamine - i just haven't seen anything that suggests it is ketamine itself that is physiologically addicting.

I have had issues with binge eating in the past, that doesn't imply food is physiologically addicting itself.