For a side project, I just needed to download the favicons of brands to visually augment a web portal :)

Historically, that icon was named favicon.ico, and stored in the root directory of the website. However, nowadays the icon is typically called shortcut icon, and there are tons of options on how to get it into the browers’ tab pane… Very rarely it’s still named favicon.ico. It’s often not even an ICO file, but a PNG image or an SVG graph. And developers often refer to it from within a webpage’s HTML code using a <link ...> tag.

However, it’s pretty convinient to create a link to a brand as it properly resembles the brand’s official log!

Alternatives

So I heard you don’t like Google? There is at least one alternative: https://api.faviconkit.com/twitter.com/144.
There is also PHP tool for that, if you want to self-host such a tool: https://github.com/ao/favicons.