Does Removing and Reinstalling My Ring Video 2 For New Modem Affect My Plan?

Hi, Just upgraded my modem so gather I need to delete the doorbell and then reinstall it to connect to the new wi-fi. I remember reading somewhere that the yearly recording plan was pretty sensitive and could be "lost" without notice with certain changes. I'm not really worried about keeping any video already recorded but don't want to have to pay another yearly subscription when my current one is only 3 monhs old. Am I wrong? If not, is there a way to transfer ownership of the plan given it's the same device, just new modem or does it automatically transfer? TIA Gary