I run it on my router which has the CG-NAT IP address.
Whilst you’re right that it could clash, it’s very unlikely (a 1 in 4194302 chance), I imagine Tailscale would detect the clash and change IPs though I could be wrong as it never happened to me (and probably never will - though in all fairness it will eventually happen to someone).
Ah NFS… It’s so good when it works! When it doesn’t though, figuring out why is like trying to navigate someone else’s house in pitch dark.