The same way the Soviet-Afghan war ended.
We supply the opposition until Russia has expended too much military, financial and political capital that it either can't achieve its objectives or decides they are no longer worth the cost.
Russia is going, albeit slowly, along the road to full civil and military mobilisation, if Ukraine had been able, partly with more timely efforts from the West, to more decisively put Russian forces on the back foot and heavier losses in the opening months the cost might have seemed prohibitive enough it wasn't worth it, but now it is kind of a slow boil - it'll probably take an invasion of Russia to force that kind of exhaustion any time soon and Ukraine simply doesn't have the man power for that even if the rest of the world was able to provide the logistics and manufacturing to make it possible (even ignoring any nuclear weapon implications there).
This whole thing with Prigozhin as much as anything IMO has been to see who is and isn't loyal to Putin to better clear the way for further action(s) of some sort.
The only thing which might make a difference is they are increasingly going to have to start tapping into the western regions and/or more affluent sections of society to raise manpower and that might start to create undercurrents in Russian society against the war - another reason maybe Putin maybe has used this whole thing with Prigozhin intentionally or otherwise as a kind of purge.
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