You need to troubleshoot the issue saving ProdManager.

No, No , No, Yes

According to the scenario, you are unable to save ProdManager because it uses a connection reference that is missing from ProductionMonitor. To resolve this issue, you can use the Connection References page to add the missing embedded connection references to ProductionMonitor. This way, you can ensure that both cloud flows use the same connection reference and avoid errors.

Adding the current user as a co-owner of ProductionMonitor will not resolve the issue, because co-owners cannot modify the connections or connection references used by a cloud flow. Changing the value of the Run only users setting for ProductionMonitor will also not resolve the issue, because this setting only affects how run-only users can access connections when they run a cloud flow manually.