Using "Press a button" with multiple buttons with the same name

Here's a better idea: Use Script Debugger 7 .
If you don't already have it, you can get a free 30-day trial, and then it gracefully downgrades to SD7 Lite.

See this post by @ccstone: Using SD7 to View Front Window Elements

tell application "System Events"
  tell application process "Keyboard Maestro"
    set oWin to front window
    oWin
    
  end tell
end tell

--- AFTER the window elements are displayed, drag the element of interest to the SD code panel
-- then usually replace the window title with "window 1"
-- This is the script you need in KM to press the "Recently Used" button.

tell application "System Events"
  tell its application process "Keyboard Maestro"
    --    tell its window "Keyboard Maestro Editor — @MOU Move Mouse to FrontMost Window When Window Changes"
    tell window 1 -- "Keyboard Maestro Editor — @MOU Move Mouse to FrontMost Window When Window Changes"
      tell its group 3
        tell its button "⌘" -- you could also use button 1
          action "AXPress"
        end tell
      end tell
    end tell
  end tell
end tell

SD7 Explore Panel