iPhone remote app for Apple TV gen 3
I have an Apple TV gen 3 which used to work fine with Apple's iPhone remote app on an iPhone 12 mini. I have some Apple remote devices but they've fallen into disuse and now have flat batteries since I used to use the phone app. It worked just as well or better than the devices and was easier to find.
Recently, the app started not working to the point of becoming useless. After restarting the app, Apple TV and iPhone, I figured I'd reinstall the app from the App Store. So I deleted the remote app on my iPhone and installed iTunes remote (which seems to be the new name for the remote app).
Anyway, I can't see how to connect to my Apple TV. I can play content from the Music app on my MacBook to the Apple TV using AirPlay, and can control the Music app on my MacBook from the iPhone.
I tried using the Home app, but it wants me to buy an Apple TV 4K. Sorry, my existing Apple TV works just fine.
How to I get the iTunes remote app to control the Apple TV? Or alternatively, how do I get the old Remote app back onto my iPhone (I really don't want to use my iPhone to control music on my MacBook)?
Apple TV (3rd generation)