Purchased iPad app does not show up in list of purchased apps on my M1 MacBook Air
I purchased Art Authority for iPad for $10 on Dec. 11, 2010. It is still on my iPad and I still use it there, and I would like to use it on my new 2020 MacBook Air (M1). But when I search for it in my purchased apps on my M1 MacBook Air, it does not appear. The app is available for purchase for $10, but I don't want to buy it again. (Curiously, in my iPad's list of purchased apps, it shows up as costing "$0.00" but in fact I spent $10 for it -- the most I ever paid for any app, and it took me a long time to decide to buy it.). Any ideas why it doesn't show up on the list of my purchased apps on the new M1 MacBook Air, when it does appear on the iPad's list?
MacBook Air (2020 or later)