HOOOOOH confusing .The usual culinary term is beat. A recipe might call for you to stir an egg into a mixture but that's a different thing. Preparing an egg involves beating it.
Beating is not the same as stirring. Beating is a vigorous action while stirring is moving something around in a circular way.
They are two different techniques with different results. Beating when you should be stirring could ruin the final result. The difference is rather like the difference between hitting and stroking.
No. You break the egg into a dish or bowl and use a whisk or fork to beat it. Beat it lightly means just to break up the yolk and amalgamate it with the white. Beat it thoroughly means until you have a homogenous mixture.