How to set iTunes 11 in shuffle or repeat mode via applescript

Question

According to http://dougscripts.com/ setting shuffle and repeat modes via applescript is broken in iTunes 11.

According to this stackoverflow answer shuffle is now a

Answer 1

Here is another approach:

activate application "iTunes"
tell application "System Events"
    tell process "iTunes"
        click menu item 1 of menu 1 of menu item "Shuffle" of menu 1 of menu bar item "Controls" of menu bar 1
    end tell
end tell