Leave of absence if I know I’m about to be laid off?

Company was acquired, pretty sure I’ll be laid off soon… culture is a terrible fit. I have never been so stressed in my life… on and off anxiety meds etc. I’d like to take a leave but we only have long term disability … I was told short term would be unpaid yet the original owners daughters was on leave and told me she had the first month off paid…. I don’t even know what to do….