If by "consciousness", you mean your memories and feelings about self-identity, I find it hard to believe that it continues in any way after death. Whether that's end of simulation or just in-simulation death, the coherence of your history, beliefs, and experiencing-process goes away.
It's possible that you'll be archived, but unless they decide to extend that sim, rather than re-running it or modifying it and running a new sim, it won't contain you.
I would like to introduce this Question-Post with more information about the increasing Capital and Human Resources directed to A.I.
. . .
There is an open debate about whether or not we are in a simulation. This Question-Post argument is based on the assumption that there is a high probability that we are living in a simulation. I believe the ending stance of our simulation will be when AGI is invented and that this simulation has the goal of information gathering.
What do you think will happen with our self awareness when our simulation ends?
I came up with the argument that: As there is not Universal mercy in our reality, there will probably not be with our minds. So it would be an instant Shutdown?