Surely you can do that in your Edge browser (which I don't use).
I used ASB add-on when it first came out, but I gave up on it because I didn't like the clutter in search results. In all honesty I don't need it and I feel savvy users don't really need something like this. I don't fear any of the heading in the screenshot.
I use Firefox 101.0 and there is much in the settings to prevent some of those headings. I also use add-ons (uBlock Origin, and uMatrix) to block ads/cookies, etc. that can be used to track you.
You don't actually say what Avast Program version you are using ?
So I have no idea why you would be getting an Add for Avast One ?
Other than if you had Avast Free and they are trying to switch you to Avast One paid version. If you are happy with what you have, ignore it and X it out.