Where has the Apple Music AirPlay icon gone in Ventura update?

For me, it is working as it should – I can choose where I want to play my music (Alexa, Airpods, ...) - On your computer settings, search for AirPlay, then choose AirPlay receiver. Check if the AirPlay receiver is enable, and if your user has the right permission (mine came already set to enabled):

I believe they did not understand your question... And no, I don't have an old computer:

This is a very important feature, you want all your regular audio to be on your computer speakers, but you want to listen to your music on your Powerbeats or another high fidelity headset system... You want the option to chose where do you want to listen to your music.

Cheers,

Leandro

And in the documentation (Music Help notes to be more specific) it clearly states you can choose where do you want to play your songs (even choosing more than one devices - which I find very cool, now I can share my audio with my wife on her headset) — see highlight in blue below:

I have the same problem on one of my macs, the other is not affected. Both are intels and updated to latest version.

Absolutely ridiculous not being able to stream music to separate audio system and keep system sounds to either laptop speakers or monitor builtin audio.

I have two macs with the latest update: a M1 macbook air, and a 2017 12" macbook. On my M1 macbook I have the same issues but not on the 12" macbook. Now I don't think they actually removed the feature, or if they did, they didn't do a good job removing it, heres why:

When I want to stream music from my M1 macbook to my bluetooth speakers the Airplay icon in Apple music does not appear on its own, but I can force it to appear. How do I do this? By enabling my second mac as an Airplay receiver. When I do this the M1 mac actually detects the 12" mac as an Airplay device and the icon appears again in apple music. Not only that, but my bluetooth speakers are also there and I can select them and stream just the music to them again.

What I think is happening is a bug on some macs that prevents non Airplay devices like wired/bluetooth speakers/headphones, and even AirPods (I have already tried) to trigger the Airplay icon, but a true Airplay device (like another mac or, I presume, a HomePod or an Apple TV) can still trigger the Airplay icon.

Is this icon you are looking for:

Good, I'm looking forward for the results of your research and conversations with Apple Support. Hope they resolve it fast for you, as I find this a very annoying error... Good luck!