How do I transfer VTubeStudio Pro to the new IPhone?

So I bought a new Iphone and expected it to get transferred automatically, but it didn’t. I log into an account where I bought it, and I do not see it amongst the purchases on App Store, so it doesn’t restore it by the “restore purchases” button.

I did find the receipt via report a problem Apple site, but I do not know what to do next. How do I restore my Pro? It’s too much money for me to pay it twice 😭