The Ukrainian have enough troop in the south to take Kherson, as long as they prep the city with artillery fire or rocket. There are 6 Brigade in the Kherson bridgehead on the Western Side of the Inhulet. The thing is, Ukraine stopped for some reason. They hasn't move since 9-10 and even they moved 3 Artillery Regiment in the area, they don't do much except taking out bridge and ammo dump or HQ. That's prepatory work and mostly try to keep the Russian in their heels. The conclusion I have is they don't want to destroy Kherson city (They can literally flatten the city with the 3 Artillery Regiment now) and they decided to wait until their Eastern Flank took Nova Karkova and encircle the Russian force there.
Seems that Nova Khakovka is the prize, opens up the road to Kherson Oblast on the other side of the river and also the rest of Zaphorizia.