using DW on multiple desktop and DW creates duplicate files

... using DW installed on Desktop A, B, and C.

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@20240603,

What type of license do you have?

Adobe's individual license cannot be shared with multiple users. A single-user license is limited to one user only.  You may install Creative Cloud on up to 2 machines but only 1 machine may be used at at time  -- i.e home or office, home or school, desktop or laptop.

https://www.adobe.com/legal/terms.html

In a business setting with multiple users, a Teams/Enterprise account is required with separate seats for each user.

https://www.adobe.com/creativecloud/business/teams/plans.html

If you are working on three separate desktops, and saving to each locally, there's no way for each instance of DW to know the other sites exist. 

If your site files were being stored on a file server that each instance of DW was using for updates, using DW's check in/check out features, you could expect each version of the program to be working with the same files. 

With the info you've provided so far, it sounds like you're simply working with 3 separate local sites and attempting to manage a single site with them. 

Sorry, your story makes no sense to me. Could you elaborate. Are you working within a network? Where do you store the site files? How many desktops are we talking about?