This site runs services that try to identify where a visit comes from — described in the privacy notice. Under the California Consumer Privacy Act that identification counts as sharing personal information, and you are entitled to stop it.
Whether this browser is opted out is being checked. If this sentence does not change, scripts are off in this browser — in which case none of the services run either, and there is nothing to opt out of.
The choice is stored as a cookie on this browser only — it is not an account, so it applies per browser and per device, and clearing cookies clears it. A browser that sends the Global Privacy Control signal is treated as opted out without any of this.