I thought privacy as per Google meant that it will trade your data with everyone interested, just will not show them your name/phone number/address (which also quite conveniently makes Google the single point of contact with you and allows to charge more)
I believe that firefox is one if the few who has at least some sort of protection against it. But you should always use different browser profiles for anything you do online at least on computer and especially if you use vpn.
I know people are passionate about their love / hated of Brave, but it along with LibreWolf (and Firefox) all offer strong fingerprinting protection out of the box. With Firefox, just make sure you add uBlock Origin.
Firefox does not "send" it, fingerprinting is done by tagging your hardware configuration from various values and create a unique key from that - independent of being logged in or any cookies - which can be used to track you. Things like browser & device user agent, browser window size, feature support (to determine browser version), etc. All of which are passively gathered by anything you could send a request to. There are ways to reduce this that Firefox and others do (such as reducing unique values in user agent, etc) but they're not opting in to some privacy invading reporting mechanism.
Yeah they analyze your browser history and then generate labels of things you’re presumably interested in and then share it with any website that asks. Privacy friendly alright.