Hello, Alexius! While I'm not experiencing the issue, as of iOS 16.4.1(a), I can try to help. :)
Have you tried closing the Music app, reopening it and then trying to skip a song? Here's how you close an app on iPhone 14 Pro:
- Swipe up slowly from the bottom of the screen.
- Pause for a moment until all the open apps show.
- Scroll through the different apps until you find Music.
- Swipe up on Music to close it.
If that doesn't help, I recommend restarting your iPhone:
- Press and hold either volume button and the side button until the power-off slider appears.
- Drag the slider, then wait 30 seconds for your device to turn off.
- To turn your device back on, press and hold the side button (on the right side of your iPhone) until you see the Apple logo.
Then see if the issue still persists.
If it does, you may need to delete the Music app and re-install it. To prevent data loss, I recommend syncing your Music library to iCloud:
- Open Settings
- Tap [Your name] > iCloud > Show All
- Toggle on the switch for Music
Before deleting the app, make sure to open it once more so that it has a chance to sync with iCloud.
I hope this helps!