Advice:

My passport is expiring 18 April 2021 and my embassy just got an issue with their system and will take 3 months to give me a new one, so that means for a covid visa extension they cannot stamp my passport longer than the expiration date in 3 weeks and I will be with no legal document here. My embassy offered me an emergency passport but I don't know if at immigration they take that as legal document (I came here and they said it dwpends on the answer of the government, so nothing clear)

For the moment I also see the option of going out and come back.

Anyone who sees a solution that I'm not seeing? Or the cheapest way to do any of these two?

Please would really appreciate your advice in this moment.