Instead of clicking the authorization prompt it could work with the Activate Last Application action.
- bringing up an authorization prompt in System Preferences
- and than running this macro brings me back to the prompt:
I tested it with TextEdit because I don't have the "1Password mini" app. If the "1Password mini" app does not behave like a regular app, then maybe it doesn't work.
Edit / PS:
If the above doesn't work and the 1Password mini app is a "background only" app then try this:
[test] Bring Back Focus to Frontmost App.kmmacros (2.0 KB)
If it works then you can merge the script with the content of the last AppleScript in your macro.