It's a huge difference, but I was referring to the house in that algorithm. The house has more money than all the players. There's no possible means of defeating the house.
Ah of course yes, such a thing is impossible, then given this the house edge is supremely powerful, it will always exist and it is something that under no Circumstances can any player beat it, just as you say, the casino algorithm does not allow it, this has to be seen as one of the best things to understand what we are up against when playing in a casino and not delude Ourselves into thinking that the Casino will be the solution to everything, the Solution to a safe income or even a job.
Of course, moreover if from the beginning we see gambling using a rational perspective then I think it is not difficult to conclude that casinos will always be the best in gambling activities, logically they are the ones who provide and create all the games offered to each player, meaning that it is clear that an owner will know much more about something they create than people who come and see it when all the games are ready to be played.
As we know that gambling is about winning and losing, and logically it is impossible for bookies to deliberately create games to give a lot of money to players, understand that this is a business for casinos where one of the reasons they provide opportunities to win is so that gamblers feel interested in continuing to try, meaning that bookies make opportunities to win as something that will bring more profit, bookies already know that everyone will like it when they see a place that provides opportunities to win. In the end, yes, as you said, this is the reason why it is very important to know and understand what we are actually dealing with.