Issues with a trigger module ("beep"). Module is not updating or changing labels in the hook_action_Info() hook
The thing is that the system registers an action with the system name beep_beep_action and probably stores that in a cache. That way it's easier and faster to access the right function in your files. I've however not found that cache, nor a way to clear it.

There are three things you can do:


Accept that all others who install your module will see it right.
Rename beep_beep_action and beep_beep_action() to something else and you will register a fresh action. 
Open the database and find and remove the stored action. (But only if you know what you are doing.)


I'd go for the second approach.