Stream from iTunes library to Sony Bravia TV

Recently setup my new 2021 Sony Bravia XR A80J TV. Have all my movies and series in iTunes on my Mac Mini that operates as media centre. It's a huge library that also contains a lot of music. So far used an ATV3 to stream to TV, but streaming directly to the TV would obviously be more convenient (and I guess an upgrade in quality for the higher res stuff).

Airplay is enabled and I managed to airplay content from iPhone to the Sony, but cannot find an option to setup the Mac Mini with iTunes as media centre / source in the Sony menu. Am I overlooking something or is this not possible?