"AI" is a ridiculously general term. People use it to talk about everything from line-following robots to machine vision and speech / natural language recognition.

Most game "AI" has nothing to do with the currently trendy "AI" based on linear algebra and neural nets. It's much, much simpler, partly because it has direct access to the game state and doesn't have to do any sensor processing.

"GameAI" tends to be a bag of puppetry tricks. You don't even need the strategic depth of chess, just something that gives you an interesting enough and varied enough move/fire pattern.