Just as a tip: you can run every Add-on on Firefox nightly. You can add your own add-on collection and select from that. You have to go into dev mode though. Yo do taht by tapping the Firefox logo in the about section like 5-10 times. You have to have a Firefox account though. Or you could use my fairly small add-on list:

Username: 16700479 Name of the list: cookies

iirc, they already had to impelement, that you can choose the default search engine in Androids first setup.

The killer feature is cookie containers, aka no cross site tracking by default.

If that is your mindset, you’re definitely better without root. My phone is rooted for three years now and never had any issue. I never had an app fail with my methods to hide Magisk. I even got GPay and contactless payment working when I still had Google services installed. Without them, it is impossible unfortunately.

What? There is a module for that called SafetyNetFix. I am fully rooted and can usw any App I want.