I went out to look at the software in my 24 HD and 23 Tahoe and both those turds are still running Android 10 and say they are up to date.
Neither one shows the Infiniti App in the Play Store. So if your not running Android 12, I don't believe you'll see this app.
I updated my settings/apps, cleared my phone and re added it, and did the soft reboot and re-signed in to no avail.
Fortunately, these systems sound better than my 22 did before it updated to Android 12. That happened when I had a new ECU installed after they smoked it during 6.2L recall software update.
So unless you get a dealer installed software update, which includes Android 12, I don't think you're getting the app.