Move Individual app from one iphone to another?

My music app, Musi, was removed from the AppStore and they're trying to get it back up. It has been gone for about 2 months and I doubt it will be back any time soon, I have even messaged them and they do not now when they can get it back. Anyway, the question: I got a new phone and since I still have Musi on my old phone, is there a way I can transfer individual apps from one phone to another? I don't want ALL of my iCloud on my new phone, so getting the app from the backup wouldn't work for me. Is there any other way?

Both of my phones are from Apple.

Connect your iPhone to iTunes and carry out a full backup. Select the option to backup apps as well.

When complete, restore that backup to the new iPhone. The only apps which will not be installed are any which are incompatible with the particular iPhone you're trying to add it to.

If the option is no longer shown on iTunes to backup apps as well, then you're out of options: I have a feeling it was removed during a recent iTunes update.