.Net - Install multiple clients of the same application using one click

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.NET

We got a web application, in which the web application got a link called Install Client. While clicking the link, it will install a window application in client machine.

Now my query is:
We got two different customers using the same application with the same version. Let's say the two customers as X & Y. Now X is having a separate DB as well as Y.

Now a common user is there, who uses both the web applications of X & Y in parallel. Hence he wants to install the window application of X & Y. But the system is allowing only to install the window application of either X or Y.

I would like to have a solution for installing both the window application in the same machine.

Note: The application name should remain the same.