I don’t think you can manage this directly. To confirm, use developer mode in your web browser of choice and inspect the icons. In my case, they all come from Apple’s content distribution network.
Then you’ll want to make sure you follow all App Store promotional asset guidelines for developers, follow the guidelines for all your app icon sizes, and submit your app for sale.
Do everything they recommend as if you expect them to promote your app with a story on the public/main App Store for each platform you’ll submit an app on.
Having purchased it hundreds of times, I would double check and open a support request with Apple Developer if your channel for updating shipping app icons might have other requirements or need a touch.
In my opinion, it is necessary to remove the text ®️ and One Stop Building Solution from the thumbnail icon. Apple’s design guidelines explicitly say to avoid what your employer asked you to do. Remember, you’re talking about a thumbnail that needs to be readable and clear at a glance, not a featured website where you can include all the marketing and words you need.
Embrace simplicity Avoid adding too much detail, as it can be difficult to discern and can make an icon appear blurry, especially at smaller sizes. Avoid adding too much detail, as it can be difficult to discern and can make an icon appear blurry, especially at smaller sizes.
Text on icons is often too small to read easily, can make an icon appear cluttered, and does not support accessibility or localization. In some contexts, the app name appears near the icon, making it redundant to display the name inside it.
Regardless of whether you ignore or follow Apple’s guidelines, I doubt your icon will be publicly displayed until it’s on sale.
I have 30 icons in my list, 5 apps get the generic treatment like yours and only 3 of the 30 have text with more than one large font. Most do not have any text. Even some of the apps without icons have been around for several years, so I don’t think lower volume apps are guaranteed a custom icon based on my few close looks at this feature.