Duplicating a site & making it independent

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Hello,

I have a requirement where I need to duplicate an existing website, set it up on a separate domain, make a few minor tweaks then set live. Both websites will have their own domain and will have independent concrete CMS.

Copying is straight forward but how do I stop the site calling home..... In my projects page it thinks I have simply moved the domain, I need 2 separate instances of the site.

Can anyone advise me please..?