Well... I don't know if it's "proper". But I know it works great!

Why don't you just Cast Screen or Cast Audio from Google Home? Wouldn't that be a lot less complicated?

Casts perfectl! Open Google Home and choose Cast Screen or Cast Audio. Works like a champ!

Ok! All together now! Smack yourselves in the forehead! Chromecast works great. Just open Google Home and Cast Screen or Cast Audio. Works for Chromecast Video and/or Chromecast Audio. I have both. Try it! It'll make you smile!