And what about a website I want to make public? I'm just concerned about my IP being visible, like for my personal website or my searxng instance

Personally I'd just proxy it through a vm running on hertzer, linode, rackspace, etc

Tailscale Funnel, but might need a paid account

Tailscale's control plane uses Cloudflare.

Thanks, I did not know this. My Tailscale was unaffected by the outage.