I would reinstall Windows, especially if the current installation is old. As long as you can connect all the drives to your computer, you can move files from the old disks. If the games on F: and G: are on Steam or Epic (and other similar launchers probably works similarly), it's easy to move the games around using those launchers. Games that have been installed outside of such launchers might not work if they are moved to a disk with different drive designation or if they are moved to a new Windows installation.
Honestly your setup is a bit complicated. I think the easiest thing you could do is clone your Windows drive to the new SSD and then manually move the other stuff over. If your games are on Steam, then that should be easy, but if it isn’t then you’d probably just have to reinstall them.