Prigozhin agreed to a fake stand-down; his troops have been in action for 18 hours, this allows them to regroup and rest for a night and commence again in the morning, with some drummed up excuse.
Prigozhin didn't get the support he expected from the military, so he was was motivated to settle, but had enough support to threaten Moscow, so Putin was motivated to settle. Outcomes - a hardliner in charge of the Russian military, Putin quietly retires in a year or two, hands over reigns without the violence.
Prigozhin was threatened with a tactical nuke, decided it wasn't worth it.
One of Prigozhin's desired outcomes - a change of the guard in Russia's MoD was inevitable given the incompetence shown in the defense of this mutiny. Even if things got truly violent and Wagner was destroyed by force, Shoigu and Gerasimov were out.
Prigozhin's communications are a mix of brutal honesty and subtle manipulation. His allies are a mix of the competent and the fanatical. Overall, the whole thing is bizarre. I'm not convinced it's over.