Wait a second. If no one ever dies, and they're still allowed to make babies, why is there not a population explosion?
Not everyone will want to have children, you're allowed to have only one, and the robots who run things have to approve you and your co-maker.
But no one ever dies. It would add up over time.
A mix of there is still room for cities and recall what happened with the pet. Either after a threshold a new city is founded or, helped with the low birth rate, the rare occurring of someone not being able to be revived in time. Add the suicidal people and the "mind wipes". If population is below threshold X, mindwipe and new body. If population is above threshold Y, kill and claim mindwipe and new body in City Z.