Media-contextual banners are currently undergoing beta testing. There are restrictions on creating media-contextual banners. To participate in beta testing, contact a Yandex manager or use an ad agency.
You can serve media ads on search on a pay-per-click basis; these are called media-contextual banner. The banner will display to the right of the search results and align with the user's interests (because it will be triggered based on the user's search query).
The page only displays one banner, so it will not have to compete for attention.