My partner gave me an ultimatum

I (27F) have been drinking socially since college, but 6 months ago when my dad passed away it spiraled out of control to the point where I was drinking every day, then even started adding whiskey to my coffee in the morning before work and killing a bottle a day. I don’t want to be like this. I can’t afford therapy and this just numbs the pain for me but I want to be able to make it through one day without drinking yet it’s impossible.

Earlier today, my partner confronted me saying that they noticed I’ve been drinking all day every day even when I have to work, and that they cannot be with someone this dysfunctional. I’m not defending myself in the slightest, I’ve been embarrassed about my drinking ever since my dad’s passing and have been trying to hide it but everyone around me can see right through it and brings up their concerns.

I told my partner that I’m going to try and get help when I finally get health insurance in two weeks, apologized profusely for all the pain that I caused (their parents were alcoholics and they are no longer in contact) and they said they would support me 100% but if nothing changes, they’re out.

I’ve never been abusive, overly aggressive, or anything. I just get drunk and giggly and fall asleep on the couch at most but obviously this is still concerning if it happens every day. I’m scared and don’t know what to do.