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Growthbook will only correct within one set of dimensional results at a time. We don't really have a good way right now to correct across multiple, but this might change as we let users define a family of "key" dimensions, a feature we're exploring now.

That’s what I thought exactly: just specify the primary attributes you may want to explore during the experiment setup so that the correction applies across specified segments. Like, if I add language and device to the primary attributes, the correction applies across combined number of values in those attributes. If I have 8 languages and 3 devices, that would be 11 segments and 11 p-values that need to be corrected for multiple comparison, if my stats understanding is right