Edit: I need to see what dried beans I have and maybe go shopping. I will give this a try with a couple different types of beans and report back if I fart or not.
Hope you have some alpha-galactosidase at your disposal.
The simplified explanation: A reason beans give some people gas is due to certain types of sugars and carbohydrates they contain. Those sugars are water soluble. Seems like brewing beans would concentrate those sugars and lead to epic tootage.
Also, one method for reducing how much gas that beans cause is to soak them in lots of water. Basically, soak them for up to 8 hours, drain, rinse, and repeat a couple more times. It works on the same principal, that the soaking process will remove at least some of the problematic, water soluble sugars. Supposedly adding a small amount of baking soda helps, too. I’m less certain about that.