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Kind of an embarrassing question, but what exactly are these games - what could you categorize them as? I don't believe they're mentioned specifically in the LBG, but perhaps they're simply called something else.

EDIT: seem to have found the answer to my own question: they basically consist of every game I've struggled with

They're games where you're putting things into one group or another, elements can't be in both and elements can't be in neither. That is, you must be in EXACTLY one of two groups.

They're usually about 2 things: conditionals and limited numbers of slots in the groups. They're pretty formulaic when you get the hang of them.

LGB calls them undefined grouping games