This thread has become increasingly defensive. It feels like one of those, "what I learned in kindergatern" scenarios.
For me, the important question here is whether you really want to salvage your friendship. You hurt someone. You rejected him and belittled him because he is less skilled than you. And you, as the leader of a peer group, did that to him collectively. If this friend matters to you at all, then you need to take real steps to repair the friendship. He needs to see that you are upset you hurt him and that you want to fix it. If I were you, I would tell him, "I messed up. I was wrong. I used to suck at poker too but people were patient with me. In the end, I don't want this to come between us. Come back and if anyone gives you a hard time they can go to hell. You will be beating them in no time anyway." But I am not you.
If the game is more important than this friendship, then I guess your path is easy. Just let the friendship die.