Update after my precaria expired and I wanted to spend the weekend in Uruguay...
As my precaria expired on Jan 29th and my renewal page was still stuck on "ya existe un expediente de renovacion...", we called Migraciones (random phone number found on the Internet, since there is no phone number provided on their website) and a grumpy lady said we would need to go to Jujuy 486 to check the status of my application.
So we went there (which is 2 hours from my home), no queue and I was told they are just a Center that collects documentation and they cannot see the status of my
tramite. Instead, they said to go to Hipolito Yrigoyen 952 (Yrigoyen y 9 de Julio), which they say is the new office with less queues than in Av. Antartida Argentina.
One hour later we are in Yrigoyen 952, no queue (
again, bad sign!), and we received the same answer as in Jujuy 486 - they said to go to Av. Antartida Argentina.
We went to Av. Antartida Argentina, queued for a solid hour (
good sign, at this point), and were told that apparently there is a IT bug on my renewal page, and that only the guy in charge of my case can help solve this. They somehow "pushed" a request through the system to solve the bug and issue my renewal, but -
again - it is up to the guy who has been processing my renewal request
since December 15th 2014.
They also said that the renewal length it at the sole guy's discretion. It could be for 30, 60 or 90 days, but it is up to him.
They told me to try to send another renewal request in a week (to allow "my" guy to sort his stuff in the meanwhile -_- ). I told them I wanted to go to Uruguay for the weekend and I asked them what would be the implications wince I have an expired precaria, but they shrugged.