No offense intended, but google is a really shitty browser anyway (Still better than Edge lol). It'd be better if you used something substantial, like tor.
I'm saying this because, unlike Chrome, tor doesn't save your search history in private browsing for search suggestion purposes, and is a much more secure browser overall.
Granted, it can be slow as balls sometimes, but that could simply because I'm using a shitty laptop on shitty wifi.
Chrome isn't much faster though, so I'm going to say that it's probably because my computer and internet are slower than snails covered in salt.
Still, if you want high anonymity and good security, I recommend using tor browser. For beginners, there's lots of guides for Tor on their website.
Tor Project
May you flick the future bean without fear.