I'll walk you through it:
Upon loading the browser on a fresh install, you are greeted with a new tab page pushing Brave Rewards. With manipulative UX, there is no button to disagree or remove the feature, only a button for "start using rewards". You can hide it by clicking the 3 dots, which for most users they're never going to do unfortunately.
Looking at the address bar, there's a triangle up there with a badge. Hiding the new tab Rewards card doesn't hide this triangle. Clicking on this does not show a remove feature option. Beside that, there's a sidebar button and a wallet icon again with a badge. Clicking on this only shows a learn more button. I can right click both of these, and finally see a hide option.
Finally all of that is hidden. Maybe I browse a page or so, and then open a new tab. I'm shown an ad on the new tab screen. Right clicking it shows no hide button. So I'll try the customize button. Here's where you have to scroll down and disable the "show sponsored images" option.
All done, right? Ok let's browse Reddit for a bit. There's where you see the "tip" button under every post. Right clicking shows nothing about hiding it. So into the settings you have to go to finally remove the last bit of the feature and be prompted to relaunch the browser.
Hamburger menu -> Settings -> Brave Rewards -> Uncheck the boxes (Reddit, Github, Twitter)
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...or the baroque but useful to know:
Hamburger menu -> Settings -> Shields -> Content Filtering -> Create Custom Filters -> reddit.com## .action-brave-tip
(which you can get to quicker with a right click context menu)
Wait, that actually sounds like a great feature! Is there a way to get it for other browsers?
The only actual counterbalance to google's power in web is the firefox browser and it's basically dead because "wah wah they bought pocket wah wah there are two tiles on the new tab page that show popular websites wah wah" so alright I guess we will just do the whole IE6 debacle again this time with less willingness from regulators to fix our bullshit.
Leaves you with this: