Reinstalling a node from scratch, but keep node ID/IP

I want to reinstall one linux desktop from scratch that is part of my Tailscale network. But I would like it to keep it’s ID/IP inside my Tailscale network. I couldn’t find anything in the FAQ. In the case of a Fedora/Centos, is it simply to install the tailscale RPMs, copy over the content of /var/lib/tailscale from a backup of the old installation and start tailscale?