@Sertai 1. Opponent says "Good Luck." (Replying "Good Luck" is perfectly adequate; "You Too" is superfluous.)
2. Opponent says "Have Fun." (Replying "Have Fun" is perfectly adequate; "You Too" is superfluous.)
3. Opponent says "Hello." (Replying "Hello" is perfectly adequate; "You Too" us superfluous.)
"What I would recommend is to add a button that represents an image of a
handshake rather than remove one."
I imagine that "clutter" is always a concern with site design; also, adding things is work.
I'm not sure about coding, but simply replacing one word with another should be a 5 second adjustment without having to correct, compensate, change, or add anything else.
"But there is problem: You can use 2 of the options : Good Luck, Hello, Have Fun, U2, so adding a Handshake,
you would have to maybe say hello and forget good luck and instead say handshake. ( I guess )"
It may seem as if "Good Luck" is the outlier, but it's not.
'Bon chance' and 'viel gluck', in Europe, are almost synonymous with "Handshake".
The outlier is obviously "U2", which is why I highlighted it as a superfluous outlier, and suggested the idea of considering replacing it with something more functional.