To seamlessly migrate the SharePoint site to another site, I recommend using the SharePoint Migrator Tool. This software is designed to make migrating SharePoint data easy and efficient. It supports migration between any versions of SharePoint, both On-Premises and Online, and allows backing up SharePoint data to a local file system. Moreover, the tool can handle multiple tasks at once and can migrate various types of SharePoint content, including Sites, Site Collections, MS Teams Sites, Web Apps, Office 365 Group Sites, and Farms.

Lastly, if you are willing to migrate the SharePoint site, I highly recommend going for the SharePoint Migrator Tool.

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