As AlBucko asks. Your profile states you have Core, so you have Lite on a second PC?
Another important question. Is that PC 64bit or 32bit. i.e. do you have Lite 15.3 32bit on it? If true then ignore anything to do with ZorinOS 16 as that is 64bit only.
If you want Z16 Core (Gnome) on that second PC then you may be better off to reinstall with Core instead of Lite. Backup your Home partition before doing that.
You can use the "something else" installation method to have full control of the installation and thereby choose not to format your Home partition thereby retaining it during installation.
Alternatively if you want to add Gnome or another Desktop Envionment to your existing OS. See this: [HOW TO] Install KDE (plasma), GNOME, XFCE, Cinnamon, MATE, Budgie, LXQt, LXDE and UKUI Dekstop Environments