Software Deployment

Hello - In Active Directory, how can I automatically uninstall an .msi package from all computers that has been Assigned when the package has already been removed from the Group Policy?

In other words, I understand that if you've assigned a package to the Computer Configuration of a GPO, then later you can choose the removal method: "Immediately uninstall the software from users and computers" when you remove the package, and then it will uninstall the next time the computer is rebooted. But what about if you've already removed the software from the GPO, and didn't choose the removal option above, but rather chose "Allow users to continue to use the software, but prevent new installations". Then later decide you want it uninstalled, how can you cleanly do that?

I tried assigning the same package to the GPO again, and then removing it and selecting the uninstall option, but it didn't seem to work. Do you only get one shot at it in the sense that if you remove it and choose a different option, you cannot reassign it and choose the uninstall and have it work?

Thanks in advance for your reply.