Hopefully, you'll get lucky. Hopefully, the system accepts (or has already accepted) your request to renew your precaria (this will be the case if the person who told me it needs to be requested within 10 days of the expiry date was lying or mistaken--both eminently possible). If the system has accepted your renewal request, someone could well action it and approve it before you fly. During my 11 or 12 renewal processes, sometimes they approved it almost immediately (like same or next day) and sometimes they didn't do so before the expiry date and I had to present in person to have it renewed manually.
Go into the system each day and check. If somebody has actioned it, the system will say so, and the new precaria will be there, able to be downloaded and printed and in your hand ready to show when you pass through the gate at the airport.
(Maybe go into the system on the 25th or 26th and press that renewal button again. If the system didn't accept your first attempt--for being outside the 10-day threshold--it may do so once you are inside the threshold.)
(I doubt you will get any assistance from Migraciones at the airport if you haven't resolved this by flight time.)
Go into the system each day and check. If somebody has actioned it, the system will say so, and the new precaria will be there, able to be downloaded and printed and in your hand ready to show when you pass through the gate at the airport.
(Maybe go into the system on the 25th or 26th and press that renewal button again. If the system didn't accept your first attempt--for being outside the 10-day threshold--it may do so once you are inside the threshold.)
(I doubt you will get any assistance from Migraciones at the airport if you haven't resolved this by flight time.)