It's time for some map fantasy.
So they are driving that wedge there. From these tubers' videos I gather the assault troops and the anchors aren't the same. The assault ones (from the mechanized brigades) are rotated out and they drop territorial defense units the hold the recaptured ground.
However the width of the bulge is 10-15 kms and it can be kept under fire from three sides by the Russians. Plus units participating in the assault has to be moved from farther and farther away. The resting area where they can safely stay in cover is that group of settlements.
It seems AFU tries to widen the area by capturing Verbove (then the are north from there will fall too easily). But that will be slow. They were stuck are Robotyne for a while too. Perhaps it will be easier towards the fortification lines between Novoprokopivka and Verbove. The Russians might channel Ocheretuvate.
There is a ridge between Novop. and Verbove, I assume Russians have the fortifications there, and towards Verbove the terrain naturally channels the Ukrainan assaults.
This also makes me think the role of terrain in the go at that front. Well, everywhere. It's like a river. Water flow towards the least resistance, people usually chose the path of the least resistance too in their life. And offenses go the same. They do the recon, probe for the weakest point, where they put pressure until the enemy line breaks.
So probably the attacks will continue towards Verbove. Then the autumn rains will set in. I assume the lower lands will be more soggy. So perhaps then they'll try the ridge southward or Novop. Which is also on some height.
But rotating the troops will be harder in the mud, they need armored vehicles for that. Will the whole operation halt soon?