In the App Store application on the Mac (not on your iPad or iPhone that I could see) in Preferences is a setting "Automatically download apps purchased on other devices". Uncheck it and see if that helps.
On a Mac since 1984. Currently: 24" M1 iMac, M2 Pro Mac mini with 27" BenQ monitor, M2 Macbook Air, MacOS 14.x; iPhones, iPods (yes, still) and iPads.
