What List permission for users have no inherent list permission, just when an item is Shared

I have a Power Apps Gallery that points to a fairly simple SP List.

We only want users to see items they have submitted.  

So we don't give them any list-level permissions.  Our App/workflows do a Share to grant users Read access to their own items. 

The problem is if nothing has been shared with them, the Gallery throws an error saying the user doesn't have access to the list.  

If I grant even Read access as a permission, it gives the user Read access to everything in the list.  Yes, I can manage that in the app programmatically with a filter.  But I'd rather put that on Sharepoint to manage.   

So how can I configure the List (or the app gallery?) so that if the user doesn't have any items Shared to them, they just get a blank gallery instead of an error message?