I have a problem with the focus mode on my mac

Hello, I really need your help. I spent the whole day trying to solve a problem. First, I really like how, when I change the focus mode on my iPad, it can also change the wallpaper. It automatically changes the focus mode on my Mac, but it does not change the wallpaper on my Mac. So, I tried to find a solution to make my Mac change the wallpaper automatically like on my iPad.

I tried everything to automate the ability to change the wallpaper to a selected one that I already chose and matches my iPad when I change the focus mode to "Study." However, I couldn't find any solution. The only solution I found is to change the wallpaper by a shortcut only on the Mac. When I click the shortcut, like the "Study" shortcut, it just makes my Mac change the focus mode and wallpaper, and it also changes on my iPad.

So, my need is to automate that shortcut. If, for example, the "Study" focus mode is turned on, it should automatically run the "Study" shortcut. Can you help me with my problem?