You can use below steps to delegate your “support team/Desktop Admins” the ability to rename a computer on a domain, like.
In ADUC, right click on the OU for which you want the user/group to be able to rename machines and choose “Delegate Control”.
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Add the user or group that you would like to give the ability to rename machines. Next.
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Choose “Create a custom task to delegate”. Next.
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Choose “Only the following objects in the folder” then “Computer objects”. Next.
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Check the box before “Write All Properties”.
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Click Next and Finish.
This Article helps me alot.
Thanks Mushaaf Blogs