e commerce – Is a scoped search the way to deal with different content types?

On my website, I have regular informational content and a shop. Both should be available to search, but I do not want to search everything with one bar and offer two separate lists of content after the search. I also do not want two search bars.

The only opportunity I can think of right now is a scoped search, i.e. the user has to choose “Website” or “Shop” in a button next to the search bar.

I have the impression that this is not really often used nowadays – is this still state of the art or can you think of a better alternative?