To clarify, you will only receive the browser in the following scenarios:
- If you had SafeZone Browser installed on your machine you will have been automatically updated. Unlike the old SafeZone Browser you can uninstall Avast Secure Bowser independently of the Antivirus.
- You accepted an offer to install the browser from the Avast Antivirus. This could have been on the first page of the installer of the Antivirus or from a post-update screen.
Mine was a fresh OS Installation, I Always choose custom installation to avoid such tricks
I tried again today and now I noticed what he is saying, the option is not in the Custom installation options, its a subtle trick, it is here:

The difference from last install is this time I did it on a PC with HUGE SCREEN and not on a laptop, that stupid black GUI is GIGANTIC and does not allow you to see the bottom part where you can untick that option, I don't think that is a coincidence, also It doesn not allow you to properly close the options screen or anything at all if you dont have like a 4000x2000 screen resolution.
These are the options I always use ,
and I didnt see the browser mentioned there, of course it is NOT THERE

Avast keeps pushing to install shit they will never sell even if there is no use for it without buying it, and now a browser, 2 extensions and webshiwld wasn't enough to spy you already or your HELP AVAST by sending blah blah, , my guess is that antivirus market is shrinking and they are desperate, with defender in win10 almost being everything you need, and big corporations using things like trendmicro which is really good and without tricks, the low end companies are struggling to get a dollar.