It is the same path as Britain under Thatcher. Decades of socialist ruin followed by a financial bailout and a libertarian taking over to fix things up. At first there is pain. Inflation goes up, unemployment skyrockets. The economy is bent out of shape by the socialists and as it slowly moves back to its natural state there's lots of disruption along the way. But then the recovery continues as the bad decision making under socialism gets steadily unwound.
If Milei's story arc is anything like Thatcher's it ends with him being stabbed in the back by center-left "wets", who become overly responsive to the most emotional voters. The country doesn't revert to Peronism but does enter another period of slow long term decline as the singular personality who pulled it back from the brink exits the stage. The natural Argentinian socialist worldview reasserts itself as the lessons are never learned. We will have to see if Milei is able to build up a protege and natural successor. Trump seems to be doing it successfully with JD Vance, but so far Milei seems to have nobody waiting in the wings - just like Thatcher.