From usability pov we would like to avoid having 2 searches in the UI so we are aiming to remove the common search field above all main app list browsers. Meaning that we need to come up with a UX solution to enable search globally as well as specifically within an app (see mockup attached).

For that we need to implement Full text search for pages and assets app because the current search there goes deeper down into the content.The full text search needs to happen on the global as well as on the app specific level.