Search control and playlist managing is troublesome in new Big Sur Music app

The new Music app version (1.1.1.3) launched with BigSur (11.0.1) is missing an important tool for those who manage large libraries and lots of playlists...the SEARCH button that used to be permanent on the interface in the top right corner. Currently the search button appears only in the playlists column and disappears when you scroll down that column. I often need to search a track while I'm in a playlist view, so to drag it in from there. When you have to playlist a new track in many lists you really get crazy with the only current way, that is to repeat right click + add + scroll all the time.

Furthermore, when you are in the songs view, you need to drag tracks to playlists and if you need to stay in a lower section of the playlist list you get crazy because the view goes back to the top of the column after few seconds.