Run AdGuard app automatically when Safari icon is clicked

Instead of showing the "AdGuard does not work" text in the Safari toolbar icon menu, we should automatically run AdGuard when the user clicks this icon.

1. The app should be started silently in the background.
2. This can take some time, so we should a loader icon until the extension<->connection is established.

Question: can we determine the content blockers state without the app running?