Meanwhile, I closed the window in the lab. This further improved the noise.
Now, according to AI, with linear temperature compensation, the voltage is within +-1uV about >94% of time. Though there is only one outlier about 6 days ago.
I tried to analyze the outlier, but I can't find any correlation with environmental factors. It does look unusual. Like, I can see what is "normal" noise, and normal drift, that dip doesn't fit it. It also could be that temperature correction has its limits. I think I should start a separate thread for that.