Hello Daksh432,
You mentioned the radio works on Apple Music, but when you press play it doesn't do anything when it comes to playing songs. Let's discuss that further.
Do you have the internal speakers selected in the following location?
- Go to System Settings
- Select on Sound
- Select on Output tab
- It should have 'MacBook Pro Speakers' selected here.
Could you be AirPlaying to another device? Learn how to check here: Stream audio and video from your Mac with AirPlay
Are you connected to a Bluetooth device? If so, try disconnecting the Bluetooth device and try playing the content again.
Are you updated? If needed, update the Mac to the latest version of Ventura: Update macOS on Mac
If the issue continues to occur, what happens exactly when you attempt to play songs? Any errors? If so, what are these errors exactly? Are these purchased songs from the same Apple ID that's currently signed in or another Apple ID? As these answers may change the solution we'd provide moving forward.
Hoping to hear how it goes, take care.