Yea, it's not that that person won't set up investments to create more sources of income for theirself, they will but depending on how attached the person is to gambling and how unsatisfied they are with the money they already have, they will still continue gambling with a huge amount of money so that they can keep multiplying their income. People are different and there are obviously many people like that.
If money is infinite, then what else do you need to multiply, there will be no point in it. I once heard from a rich man, when he was asked why he continues to work if he already has enough money, and he asked, - why does an artist continue to paint pictures? The point is that he just likes to earn money, it is his way of life, he is not going to stop. Therefore, if you like gambling and the money is infinite, then you can play as much as you want, but I think that it can quickly get boring if there are no emotions from winning and disappointment from losing, if the money is infinite.