Add a "Site Results" and "Cached Page" links onto each Google search result entries to search from that site. The link will be added either in the search result entry's popup menu, or after the green URL below the entry's title.
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It's pretty good. I changed the url to match Brave Search but the button isn't showing unfortunatly. I know you haven't made it with that in mind and it's ok but if you have any idea how to fix it, I'd be thankful.