This is not (or shouldn’t be) a WordPress question. If you remove “desktop App for WordPress” and replace that with ANY other Windows program, the solution will be exactly the same.
There are generally two approaches to deploying software on Windows remotely:
1) Group Policy: If the computers are joined to an AD DC (or whatever the modern equivalent is), then you could use the built-in Group Policy to install any software to the remote machines.
2) RMM/Agent: If the computers are managed via some remote monitoring and management (RMM) platform, then you could script the RMM to deploy any software onto the remote machines. Of course, this presupposes the RMM’s agent is already installed on the remote computer and joined to the RMM platform.
What you cannot do is remotely install software on another computer that’s not already part of some central management/administration you control.
These are general approaches: I’m not familiar with any specific modern tools out there, as I moved out of this industry a long time ago.
As I mentioned from the onset, this is not really a WordPress problem; it is a Windows administration problem. And I’ll recommend you seek help from a Windows-specific or a general sysadmin support forum.
Good luck!