What is Your Preferred Take on Filtered Search?

So we want to add filters to a searchbar, and while at first they wanted to put a dropdown containing the filters right next to the searchbar, eventually they decided to combine that, resulting in what I think is a convulated component:

I'm thinking the now popular way of showing a big box below the searchbar that allows the user to choose the filter first works better:

So after the user focuses on the searchbar and the filters show, she then clicks on one of the filter, which returns her to the searchbar to search within the narrowed down scope, maybe with the placeholde text "search within narrowed scope" or something.

What do you think? Do you think the convulated searchbar works too, or does it confuse the user? And do you think my alternative concept makes sense? Or is there a more obvious solution that escaped my attention?