Were you able to apply from within Argentina?Hey,
I have no experience experience with overstays, but anecdotally can say a lot of folks on the forum stick to is as gospel. Maybe the 3rd time comment is just to scare people out of it.
As for the nomad visa, I just got the application sent in last week for my 3rd one. They're 6 month transitory that can renew 1 time each. To my understanding, no legitimate pathway to permanent, just good for the term. So the long term value will depend on your personal situation.
Aside that, here's the federal application page https://www.argentina.gob.ar/servicio/tramitacion-de-ingreso-electronica-nomadas-digitales
Heads up, employment contract and proof of pay didn't cut it for mine this go, they're asking for a "note" from your employer saying your expected to remain employed for at least 6 months.
Feel free to ping if you have questions on that process, its a pretty crummy outdated system (online application/fee>embassy email and fee over phone+any additional items>head office eventual emails a pdf visa to use on entry).
Btw, there's tons of deeper advice on the forum about longer term permanent options if you'll eventually want that.
I originally tried to go this route while I was still in the US but they lost my application and when they finally found it I was already here and denied me because I was already in the country (even though I paid the fee).