After being shown the Brave Search results, 3/4 of the screen is over taken by a white panel. This will happen everytime and it will replace the search results on smaller screens.
The ideal case is that the search results can be seen in full view.
Version
1.29.79 Chromium: 93.0.4577.63 (Official Build) (x86_64)
Very weird. Are you using any extensions that could be the reason for this behavior? You could check whether Brave Search works as expected in private window with no extensions.