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Thank you in advance for your patience and understanding on the matter.
Here, i see plesk have recorded my private IP and cloudflare DNS 1.1.1.1 (I don't know why) and hidden one is my old IP. there is no option to reset IP address inside Plesk Portal.
And how to avoid Plesk considering Private IP and Cloudflare IP as license instead of server IP.
That sounds more like a server configuration error. You can have multiple IP addresses on a server but only one can be bound for the actual license part if you read up on the link that Peter provided.
But I would suggest that you double check your settings in Plesk and on the server itself. Once all is configured and done for, reach out to the Plesk sales team providing them with the bounded IP address that is going to be used as a means of verifying the license.
I think from the extra information above that maybe the previous installation has been provided by a Plesk partner? In that case they have a tool with which they can do the required license bind change. Binding a License to an IP Address