Operations are slow, but the cause is not a lack of supplies; it is the insane use of mines by the Russians. As an aside, when you’re using the volume of mines the Russians are, it shows that they have no plans to counterattack in that area because they’d be caught in their minefields.
The hope for a Third Army-style ramble to the sea is probably past, but I think the measured, careful light infantry advance in the southern area will carry the day.
Reports that there has been a decrease in artillery support around Bakhmut and the willingness to give ground near Kupiansk could be significant. It is a sign that the Ukrainian high command is not trying to fight everywhere and that the resources that could make life easier on the troops in those two areas are needed elsewhere.