The IP you get on your Mac is a private IP doled out to you from your Verizon Actiontec Router. When you mention Proxy, you seem to be talking about the *public* IP that your router gets from Verizon itself. I'm going to assume the former though. I don't have the router admin pages memorized, but I'd expect you can hunt through those pages and look for a section that lets you edit the DHCP settings. You can dial the lease time way down and then clear the Computer from the DHCP table and then reconnect the Mac and see if you get a different IP. (revert the lease time to the original setting or something reasonable)
Sometimes you can luck out and just go to the Mac's system preferences and under Network -> Ethernet/Airport -> you can select 'renew DHCP lease' and you may see the IP change right there and then. But that would be unusual since the lease times should be long enough and your network not so complicated that the IP should remain the same basically.