Indeed, your screenshots show a bug, but I cannot reproduce it – tested now on both Linux and Windows.
Can you reproduce the bug on your side, still? After restarting the editor? Can you reproduce it on any CGE example? If yes, can you maybe record a movie, showing also your mouse cursor? Maybe there’s some flow that “desynchronizes” the action state.
To be clear, just as you say, what should happen (and what does happen in my tests):
The button should say “Compile And Run” when nothing is running (compilation and application)
The button should say “Stop” when something runs.
And the above should remain true, no matter how you start / stop (by clicking on the button, by using menu item in “Run”, by using key shortcuts F9 / Ctrl + F2…) and what you do (close, open projects etc). Here are valid screenshots:
now I tried about 30 minutes to reproduce the bug but the error no longer occurred. I’m also not able to reproduce it.
If it happens again, I’ll try to find the cause. The ticket can be closed.