You need to have listerner in place for the "Issue assigned" event, which is listening for changes on the assignee field.
Script runner plugin also provdes ability to write listerner - https://scriptrunner.adaptavist.com/latest/jira/listeners.html
In the listener you have to check the condition
Gov Data = Yes and/or Environment = Prod
and if the condition is true then you can check if the assignee is someine in offshore team and if that's the case then assign it back to someone in onshore team.
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