Well, to influence the rules you have to play Triple Triad in different parts of the world. When a player sees that you know a new rule, they will ask to use the new set of rules along with the rules of the region. If you're lucky, once you get enough rules spread around, the rule that you don't want will be abolished in the area.
I feel for you though. The Random rule does indeed suck. I did find something interesting though when I looked up some info about this: Sometime afterwards when the Garden takes off from it's stationary place in near Balamb, you can head back to Balamb and there will be a student who missed catching the Garden when it took off. He's at the wharf, btw. If you speak to said student, they will reset all rules back to their original sets. Not sure if it's just in the Balamb region, but I came across multiple sites that said that it happens.
Best of luck to you.
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