Q: Internet Accounts keeps asking for Google password

I've enabled 2-step verification on my Google account.

I've had this account set up in Mail.app so it has an entry in my System Preferences > Internet Accounts

Now, with 2-step from Google, there are Application specific passwords. Mail.app can no longer use my Google account password. I had to log in to Google and create a password just for Mac Mail.app.

That worked just fine. Mail is now checking my Gmail for me.

When I open System Preferences > Internet Accounts and look at my Google account, it asks for my password. My Google ID password no longer works, as I'd expect. So I entered my Application Specific password for Mail.app.

This is the problem. It asks me three times, every time I want to look at my Google account details in System Preferences.

Sound familiar to anyone? Anyone solve this?

I tried creating an app specific password for System Preferences, but that didn't work.