Change the switches management interface configuration so that it is pointing at the new Internet circuit. It should come back online in the dashboard after this. You should see it checking in from the new public IP address.
Can we change the ip address of the switch after the ISP router's ip address has changed? How will the switch access the internet after the IP change on the ISP router?
Can I change the switch it's management ip locally from the LAN? This is in case I can get access to a machine on the local LAN.