Not trying to be contentious, but Bitcoin can't be private it's a public blockchain viewable by the world. Only psuedonymous (user unknown, actions known) if bought and transacting p2p/NoKYC.

You can coinjoin to make your actions probabilistic, but that is obfuscation, not privacy (all information is known, data is "muddied", but not hidden). Similar to leaking metadata. Can be saved and potentially used with future data to deanonymize the user or deobfuscate the data.