Network tab → reload. It stays empty.
Everything above is anonymous fingerprinting. Your local network IP is a different kind of leak: browsers expose it through WebRTC, often even behind a VPN. This one does make a network request (a STUN lookup) — so it's opt-in.
A "fingerprint" doesn't need a cookie or a login. It's built from the dozens of tiny configuration details your browser hands over to every site, automatically, to render a page. Individually they're boring. Combined, they're close to unique — and they persist across incognito windows, across sessions, often across the VPN you turned on to stop exactly this.
The number up top is an upper bound. It sums the entropy of each signal as if they were independent, which they aren't (a 13-inch Retina screen already implies a lot about your GPU). Treat it as "at most this unique." The honest version of this measurement is EFF's Cover Your Tracks, which compares you against a live population; this page is a faster, local, show-don't-tell version of the same idea.
What can you do? Not much, cheaply. Fingerprinting resistance means looking like everyone else: Tor Browser, or Firefox with resistFingerprinting, both flatten many of these signals. Most "privacy" extensions add entropy and make you more trackable, not less.