Is it lying or is it acting 🎭 Shakespeare does say all the world is your stage

Neither. He actually says something else, and it's a [u]metaphor[/u] - neither acting nor lying:
[i]All the world’s a stage,
And all the men and women merely players;
They have their exits and their entrances;
And one man in his time plays many parts,
His acts being seven ages. At first the infant
Mewling and puking in the nurse’s arms;
And then the whining school-boy, with his satchel
And shining morning face, creeping like snail
Unwillingly to school. And then the lover...[/i]

Tomorrow, and tomorrow, and tomorrow,
Creeps in this petty pace from day to day,
To the last syllable of recorded time;
And all our yesterdays have lighted fools
The way to dusty death. Out, out, brief candle!
Life's but a walking shadow, a poor player,
That struts and frets his hour upon the stage,
And then is heard no more. It is a tale
Told by an idiot, full of sound and fury,
Signifying nothing.

Did he say that?

Hmmm...?

Anyway its acting out...and acting out is pretending, where pretending could be a lie

The suspension of Disbelief.

It’s about more than literal acting; a metaphor for the course of a [b]lifetime[/b].