This is not a GenP-related issue, Adobe’s own support pages, such as the one here, explains exactly how to change the install location already.

To move an installed app from C: to another drive, you change the location in CC app prefs and then reinstall the app so that it installs in the new location instead. After you've changed it, any future apps you install will also go to that new location.

If you were using Monkrus instead, you would uninstall it from C: and reinstall it, changing the location during the setup to the new location instead.

As for reset, using GenP with CC app: Changing the install location and reinstalling Photoshop does technically reset the installation because the app is uninstalled and then reinstalled. However, your personal settings are usually kept unless you choose to remove them.

Using Monkrus standalone installer: This also involves a reinstall, but whether your settings are kept or reset depends entirely on how that installer behaves during the process. It may offer an option to keep user data, or it may remove everything automatically, there’s no consistent behaviour.